Search a number
-
+
21034222000 = 2453112932969
BaseRepresentation
bin10011100101101111…
…001100000110110000
32000021220121012010021
4103211233030012300
5321034230101000
613355112213224
71343150636251
oct234557140660
960256535107
1021034222000
118a142a7350
1240b039a214
131ca2a3770c
1410377c0b28
1583195c11a
hex4e5bcc1b0

21034222000 has 160 divisors (see below), whose sum is σ = 57399451200. Its totient is φ = 7384832000.

The previous prime is 21034221853. The next prime is 21034222007. The reversal of 21034222000 is 22243012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21034222007) by changing a digit.

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, 621516 + ... + 654484.

It is an arithmetic number, because the mean of its divisors is an integer number (358746570).

Almost surely, 221034222000 is an apocalyptic number.

21034222000 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 21034222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28699725600).

21034222000 is an abundant number, since it is smaller than the sum of its proper divisors (36365229200).

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

21034222000 is a wasteful number, since it uses less digits than its factorization.

21034222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33032 (or 33016 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 21034222000 its reverse (22243012), we get a palindrome (21056465012).

The spelling of 21034222000 in words is "twenty-one billion, thirty-four million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 125 145 176 200 220 232 250 275 290 319 400 440 464 500 550 580 638 725 880 1000 1100 1160 1276 1375 1450 1595 2000 2200 2320 2552 2750 2900 3190 3625 4400 5104 5500 5800 6380 7250 7975 11000 11600 12760 14500 15950 22000 25520 29000 31900 32969 39875 58000 63800 65938 79750 127600 131876 159500 164845 263752 319000 329690 362659 527504 638000 659380 725318 824225 956101 1318760 1450636 1648450 1813295 1912202 2637520 2901272 3296900 3626590 3824404 4121125 4780505 5802544 6593800 7253180 7648808 8242250 9066475 9561010 10517111 13187600 14506360 15297616 16484500 18132950 19122020 21034222 23902525 29012720 32969000 36265900 38244040 42068444 45332375 47805050 52585555 65938000 72531800 76488080 84136888 90664750 95610100 105171110 119512625 145063600 168273776 181329500 191220200 210342220 239025250 262927775 362659000 382440400 420684440 478050500 525855550 725318000 841368880 956101000 1051711100 1314638875 1912202000 2103422200 2629277750 4206844400 5258555500 10517111000 21034222000