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23657224140 = 2232511171971521
BaseRepresentation
bin10110000010000101…
…001001011111001100
32021001201020111121200
4112002011021133030
5341422222133030
614511252225500
71465151041644
oct260205113714
967051214550
1023657224140
11a03a982710
12470290b290
1323002a23a4
141205ccd524
15936d82d60
hex5821497cc

23657224140 has 576 divisors, whose sum is σ = 88650132480. Its totient is φ = 5031936000.

The previous prime is 23657224133. The next prime is 23657224141. The reversal of 23657224140 is 4142275632.

23657224140 is a `hidden beast` number, since 2 + 3 + 6 + 572 + 2 + 41 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23657224095 and 23657224104.

It is not an unprimeable number, because it can be changed into a prime (23657224141) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45407080 + ... + 45407600.

It is an arithmetic number, because the mean of its divisors is an integer number (153906480).

Almost surely, 223657224140 is an apocalyptic number.

23657224140 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 23657224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44325066240).

23657224140 is an abundant number, since it is smaller than the sum of its proper divisors (64992908340).

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

23657224140 is a wasteful number, since it uses less digits than its factorization.

23657224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 23657224140 its reverse (4142275632), we get a palindrome (27799499772).

The spelling of 23657224140 in words is "twenty-three billion, six hundred fifty-seven million, two hundred twenty-four thousand, one hundred forty".