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10024223440 = 2457111627309
BaseRepresentation
bin10010101010111110…
…11000001011010000
3221212121100022102211
421111133120023100
5131012200122230
64334405521504
7503260331140
oct112537301320
927777308384
1010024223440
11428445a490
121b39113294
13c39a1c07a
146b146a920
153da09542a
hex2557d82d0

10024223440 has 80 divisors (see below), whose sum is σ = 29057247360. Its totient is φ = 3124431360.

The previous prime is 10024223393. The next prime is 10024223441. The reversal of 10024223440 is 4432242001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024223441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807495 + ... + 819814.

It is an arithmetic number, because the mean of its divisors is an integer number (363215592).

Almost surely, 210024223440 is an apocalyptic number.

10024223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024223440 is an abundant number, since it is smaller than the sum of its proper divisors (19033023920).

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

10024223440 is a wasteful number, since it uses less digits than its factorization.

10024223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627340 (or 1627334 counting only the distinct ones).

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

Adding to 10024223440 its reverse (4432242001), we get a palindrome (14456465441).

The spelling of 10024223440 in words is "ten billion, twenty-four million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 1627309 3254618 6509236 8136545 11391163 13018472 16273090 17900399 22782326 26036944 32546180 35800798 45564652 56955815 65092360 71601596 89501995 91129304 113911630 125302793 130184720 143203192 179003990 182258608 227823260 250605586 286406384 358007980 455646520 501211172 626513965 716015960 911293040 1002422344 1253027930 1432031920 2004844688 2506055860 5012111720 10024223440