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10220231232 = 263238945613
BaseRepresentation
bin10011000010010110…
…00101101001000000
3222101021011112120200
421201023011221000
5131412334344412
64410051005200
7511160350341
oct114113055100
928337145520
1010220231232
114375065aa2
121b92899800
13c6b509203
146cd4d00c8
153ec3b19dc
hex2612c5a40

10220231232 has 84 divisors (see below), whose sum is σ = 29370398460. Its totient is φ = 3397911552.

The previous prime is 10220231221. The next prime is 10220231237. The reversal of 10220231232 is 23213202201.

It can be written as a sum of positive squares in 2 ways, for example, as 1114491456 + 9105739776 = 33384^2 + 95424^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10220231237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201258 + ... + 246870.

Almost surely, 210220231232 is an apocalyptic number.

10220231232 is a gapful number since it is divisible by the number (12) 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 10220231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14685199230).

10220231232 is an abundant number, since it is smaller than the sum of its proper divisors (19150167228).

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

10220231232 is a wasteful number, since it uses less digits than its factorization.

10220231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46020 (or 46007 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10220231232 its reverse (23213202201), we get a palindrome (33433433433).

The spelling of 10220231232 in words is "ten billion, two hundred twenty million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 389 576 778 1167 1556 2334 3112 3501 4668 6224 7002 9336 12448 14004 18672 24896 28008 37344 45613 56016 74688 91226 112032 136839 182452 224064 273678 364904 410517 547356 729808 821034 1094712 1459616 1642068 2189424 2919232 3284136 4378848 6568272 8757696 13136544 17743457 26273088 35486914 53230371 70973828 106460742 141947656 159691113 212921484 283895312 319382226 425842968 567790624 638764452 851685936 1135581248 1277528904 1703371872 2555057808 3406743744 5110115616 10220231232