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223159868640 = 253353112713121
BaseRepresentation
bin1100111111010101011…
…1010101110011100000
3210100000101122220122000
43033311113111303200
512124012411244030
6250303534244000
722060052404632
oct3176527256340
9710011586560
10223159868640
1186706a23305
12372bb956600
1318075554067
14ab2dd06a52
155c11812860
hex33f55d5ce0

223159868640 has 384 divisors, whose sum is σ = 812665405440. Its totient is φ = 57131827200.

The previous prime is 223159868639. The next prime is 223159868653. The reversal of 223159868640 is 46868951322.

223159868640 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 598 + 6 + 8 + 6 + 40 = 666.

It is a super-3 number, since 3×2231598686403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17001280 + ... + 17014400.

It is an arithmetic number, because the mean of its divisors is an integer number (2116316160).

Almost surely, 2223159868640 is an apocalyptic number.

223159868640 is a gapful number since it is divisible by the number (20) 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 223159868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406332702720).

223159868640 is an abundant number, since it is smaller than the sum of its proper divisors (589505536800).

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

223159868640 is a wasteful number, since it uses less digits than its factorization.

223159868640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13303 (or 13289 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 223159868640 in words is "two hundred twenty-three billion, one hundred fifty-nine million, eight hundred sixty-eight thousand, six hundred forty".