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22002001000 = 2353715312053
BaseRepresentation
bin10100011111011010…
…111110010001101000
32002210100122110022221
4110133122332101220
5330030003013000
614035123123424
71406141631340
oct243732762150
962710573287
1022002001000
119370613001
124320513574
1320c83a2a05
1410ca141d20
1588b8c661a
hex51f6be468

22002001000 has 128 divisors (see below), whose sum is σ = 58906748160. Its totient is φ = 7534944000.

The previous prime is 22002000991. The next prime is 22002001019. The reversal of 22002001000 is 10020022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10715974 + ... + 10718026.

It is an arithmetic number, because the mean of its divisors is an integer number (460208970).

Almost surely, 222002001000 is an apocalyptic number.

22002001000 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 22002001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29453374080).

22002001000 is an abundant number, since it is smaller than the sum of its proper divisors (36904747160).

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

22002001000 is a wasteful number, since it uses less digits than its factorization.

22002001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 22002001000 its reverse (10020022), we get a palindrome (22012021022).

The spelling of 22002001000 in words is "twenty-two billion, two million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1531 1750 2053 3062 3500 4106 6124 7000 7655 8212 10265 10717 12248 14371 15310 16424 20530 21434 28742 30620 38275 41060 42868 51325 53585 57484 61240 71855 76550 82120 85736 102650 107170 114968 143710 153100 191375 205300 214340 256625 267925 287420 306200 359275 382750 410600 428680 513250 535850 574840 718550 765500 1026500 1071700 1339625 1437100 1531000 1796375 2053000 2143400 2679250 2874200 3143143 3592750 5358500 6286286 7185500 10717000 12572572 14371000 15715715 22002001 25145144 31431430 44004002 62862860 78578575 88008004 110010005 125725720 157157150 176016008 220020010 314314300 392892875 440040020 550050025 628628600 785785750 880080040 1100100050 1571571500 2200200100 2750250125 3143143000 4400400200 5500500250 11001000500 22002001000