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23899206240 = 253257131929331
BaseRepresentation
bin10110010000100000…
…001111001001100000
32021200120120110122200
4112100200033021200
5342421144044430
614551254533200
71504146621060
oct262040171140
967616513580
1023899206240
11a15452a418
12476b967200
13233b468470
14122a0bd3a0
1594d231460
hex59080f260

23899206240 has 1152 divisors, whose sum is σ = 109633305600. Its totient is φ = 4598415360.

The previous prime is 23899206187. The next prime is 23899206283. The reversal of 23899206240 is 4260299832.

23899206240 is a `hidden beast` number, since 2 + 389 + 9 + 20 + 6 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72202875 + ... + 72203205.

It is an arithmetic number, because the mean of its divisors is an integer number (95167800).

Almost surely, 223899206240 is an apocalyptic number.

23899206240 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 23899206240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54816652800).

23899206240 is an abundant number, since it is smaller than the sum of its proper divisors (85734099360).

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

23899206240 is a wasteful number, since it uses less digits than its factorization.

23899206240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 23899206240 in words is "twenty-three billion, eight hundred ninety-nine million, two hundred six thousand, two hundred forty".