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223514313440 = 25511126996769
BaseRepresentation
bin1101000000101001111…
…1011100001011100000
3210100221002121120111012
43100022133130023200
512130224131012230
6250403035240052
722101615213455
oct3201237341340
9710832546435
10223514313440
11868790039a0
123739a5a9028
1318100b05402
14ab6500d82c
155c329c8395
hex340a7dc2e0

223514313440 has 48 divisors (see below), whose sum is σ = 576057348720. Its totient is φ = 81277931520.

The previous prime is 223514313431. The next prime is 223514313479. The reversal of 223514313440 is 44313415322.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 223514313397 and 223514313406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63496625 + ... + 63500144.

It is an arithmetic number, because the mean of its divisors is an integer number (12001194765).

Almost surely, 2223514313440 is an apocalyptic number.

223514313440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223514313440 is an abundant number, since it is smaller than the sum of its proper divisors (352543035280).

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

223514313440 is a wasteful number, since it uses less digits than its factorization.

223514313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126996795 (or 126996787 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 223514313440 its reverse (44313415322), we get a palindrome (267827728762).

The spelling of 223514313440 in words is "two hundred twenty-three billion, five hundred fourteen million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 126996769 253993538 507987076 634983845 1015974152 1269967690 1396964459 2031948304 2539935380 2793928918 4063896608 5079870760 5587857836 6984822295 10159741520 11175715672 13969644590 20319483040 22351431344 27939289180 44702862688 55878578360 111757156720 223514313440