Search a number
-
+
22012201022000 = 245373529445537
BaseRepresentation
bin1010000000101000111010…
…11011000011001000110000
32212221100100010200111022112
411000110131123003020300
510341121441430201000
6114452133205224452
74431220601345450
oct500243533031060
985840303614275
1022012201022000
11701735a690282
122576141702128
13c38984534147
145615792d5d60
152828c4091235
hex14051d6c3230

22012201022000 has 160 divisors (see below), whose sum is σ = 60846518728320. Its totient is φ = 7544884838400.

The previous prime is 22012201021997. The next prime is 22012201022017. The reversal of 22012201022000 is 22010221022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49183232 + ... + 49628768.

It is an arithmetic number, because the mean of its divisors is an integer number (380290742052).

Almost surely, 222012201022000 is an apocalyptic number.

22012201022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012201022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30423259364160).

22012201022000 is an abundant number, since it is smaller than the sum of its proper divisors (38834317706320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22012201022000 is a wasteful number, since it uses less digits than its factorization.

22012201022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449096 (or 449080 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22012201022000 its reverse (22010221022), we get a palindrome (22034211243022).

The spelling of 22012201022000 in words is "twenty-two trillion, twelve billion, two hundred one million, twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 3529 7000 7058 14000 14116 17645 24703 28232 35290 49406 56464 70580 88225 98812 123515 141160 176450 197624 247030 282320 352900 395248 441125 445537 494060 617575 705800 882250 891074 988120 1235150 1411600 1764500 1782148 1976240 2227685 2470300 3087875 3118759 3529000 3564296 4455370 4940600 6175750 6237518 7058000 7128592 8910740 9881200 11138425 12351500 12475036 15593795 17821480 22276850 24703000 24950072 31187590 35642960 44553700 49406000 49900144 55692125 62375180 77968975 89107400 111384250 124750360 155937950 178214800 222768500 249500720 311875900 389844875 445537000 623751800 779689750 891074000 1247503600 1559379500 1572300073 3118759000 3144600146 6237518000 6289200292 7861500365 11006100511 12578400584 15723000730 22012201022 25156801168 31446001460 39307501825 44024402044 55030502555 62892002920 78615003650 88048804088 110061005110 125784005840 157230007300 176097608176 196537509125 220122010220 275152512775 314460014600 393075018250 440244020440 550305025550 628920029200 786150036500 880488040880 1100610051100 1375762563875 1572300073000 2201220102200 2751525127750 3144600146000 4402440204400 5503050255500 11006100511000 22012201022000