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22401240232 = 23721134611097
BaseRepresentation
bin10100110111001101…
…111100110010101000
32010211011212220121011
4110313031330302220
5331334204141412
614142504153304
71422060254200
oct246715746250
963734786534
1022401240232
119555a09388
124412168834
132160008c47
141127189400
158b19897a7
hex53737cca8

22401240232 has 96 divisors (see below), whose sum is σ = 49444191720. Its totient is φ = 9486274560.

The previous prime is 22401240229. The next prime is 22401240247. The reversal of 22401240232 is 23204210422.

It can be written as a sum of positive squares in 4 ways, for example, as 8176861476 + 14224378756 = 90426^2 + 119266^2 .

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 23 ways as a sum of consecutive naturals, for example, 20419908 + ... + 20421004.

Almost surely, 222401240232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22401240232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24722095860).

22401240232 is an abundant number, since it is smaller than the sum of its proper divisors (27042951488).

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

22401240232 is a wasteful number, since it uses less digits than its factorization.

22401240232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22401240232 its reverse (23204210422), we get a palindrome (45605450654).

The spelling of 22401240232 in words is "twenty-two billion, four hundred one million, two hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 113 196 226 392 452 461 791 904 922 1097 1582 1844 2194 3164 3227 3688 4388 5537 6328 6454 7679 8776 11074 12908 15358 22148 22589 25816 30716 44296 45178 52093 53753 61432 90356 104186 107506 123961 180712 208372 215012 247922 364651 416744 430024 495844 505717 729302 867727 991688 1011434 1458604 1735454 2022868 2552557 2917208 3470908 3540019 4045736 5105114 6074089 6941816 7080038 10210228 12148178 14160076 20420456 24296356 24780133 28320152 48592712 49560266 57146021 99120532 114292042 198241064 228584084 400022147 457168168 800044294 1600088588 2800155029 3200177176 5600310058 11200620116 22401240232