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22202120010 = 2357217984377
BaseRepresentation
bin10100101011010110…
…010111011101001010
32010022022012120000010
4110223112113131022
5330432220320020
614111032252350
71414121622600
oct245326273512
963268176003
1022202120010
119463577414
1243775410b6
13212a99c225
141108955870
1589e255de0
hex52b59774a

22202120010 has 96 divisors (see below), whose sum is σ = 62331716160. Its totient is φ = 5046359808.

The previous prime is 22202119999. The next prime is 22202120023. The reversal of 22202120010 is 1002120222.

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 47 ways as a sum of consecutive naturals, for example, 220942 + ... + 305318.

It is an arithmetic number, because the mean of its divisors is an integer number (649288710).

Almost surely, 222202120010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22202120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31165858080).

22202120010 is an abundant number, since it is smaller than the sum of its proper divisors (40129596150).

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

22202120010 is a wasteful number, since it uses less digits than its factorization.

22202120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84580 (or 84573 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22202120010 its reverse (1002120222), we get a palindrome (23204240232).

The spelling of 22202120010 in words is "twenty-two billion, two hundred two million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 179 210 245 294 358 490 537 735 895 1074 1253 1470 1790 2506 2685 3759 5370 6265 7518 8771 12530 17542 18795 26313 37590 43855 52626 84377 87710 131565 168754 253131 263130 421885 506262 590639 843770 1181278 1265655 1771917 2531310 2953195 3543834 4134473 5906390 8268946 8859585 12403419 15103483 17719170 20672365 24806838 30206966 41344730 45310449 62017095 75517415 90620898 105724381 124034190 151034830 211448762 226552245 317173143 453104490 528621905 634346286 740070667 1057243810 1480141334 1585865715 2220212001 3171731430 3700353335 4440424002 7400706670 11101060005 22202120010