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252229954860 = 22345132921287
BaseRepresentation
bin1110101011101000010…
…0111010110100101100
3220010001100011022010000
43222322010322310230
513113031332023420
6311512311144300
724136331145612
oct3527204726454
9803040138100
10252229954860
1197a74263354
1240a73375090
131aa2907ab00
14c2caa496b2
1568639a1690
hex3aba13ad2c

252229954860 has 180 divisors, whose sum is σ = 856803367728. Its totient is φ = 62087306112.

The previous prime is 252229954817. The next prime is 252229954891. The reversal of 252229954860 is 68459922252.

252229954860 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 2 + 99 + 548 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 252229954797 and 252229954806.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 186864 + ... + 734423.

Almost surely, 2252229954860 is an apocalyptic number.

252229954860 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 252229954860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428401683864).

252229954860 is an abundant number, since it is smaller than the sum of its proper divisors (604573412868).

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

252229954860 is a wasteful number, since it uses less digits than its factorization.

252229954860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921334 (or 921310 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 252229954860 in words is "two hundred fifty-two billion, two hundred twenty-nine million, nine hundred fifty-four thousand, eight hundred sixty".