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23252335140 = 2235172943101181
BaseRepresentation
bin10101101001111100…
…100111101000100100
32020000111101000022210
4111221330213220210
5340110044211030
614403150123420
71452133405356
oct255174475044
966014330283
1023252335140
119952378601
12460b1b0570
13226743b6b8
1411a82150d6
15911555bb0
hex569f27a24

23252335140 has 384 divisors, whose sum is σ = 74101547520. Its totient is φ = 5419008000.

The previous prime is 23252335133. The next prime is 23252335153. The reversal of 23252335140 is 4153325232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23252335098 and 23252335107.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128465850 + ... + 128466030.

It is an arithmetic number, because the mean of its divisors is an integer number (192972780).

Almost surely, 223252335140 is an apocalyptic number.

23252335140 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 23252335140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37050773760).

23252335140 is an abundant number, since it is smaller than the sum of its proper divisors (50849212380).

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

23252335140 is a wasteful number, since it uses less digits than its factorization.

23252335140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 23252335140 in words is "twenty-three billion, two hundred fifty-two million, three hundred thirty-five thousand, one hundred forty".