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23001922944 = 27337111361109
BaseRepresentation
bin10101011011000001…
…010111110110000000
32012101001011202101000
4111123001113312000
5334101443013234
614322243012000
71443003055560
oct253301276600
965331152330
1023001922944
119833a93180
12455b36a000
1322275b34c0
141182c6cda0
158e958e899
hex55b057d80

23001922944 has 1024 divisors, whose sum is σ = 93494016000. Its totient is φ = 5374771200.

The previous prime is 23001922943. The next prime is 23001923003. The reversal of 23001922944 is 44922910032.

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 = 23001922899 and 23001922908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001922943) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211026762 + ... + 211026870.

It is an arithmetic number, because the mean of its divisors is an integer number (91302750).

Almost surely, 223001922944 is an apocalyptic number.

23001922944 is a gapful number since it is divisible by the number (24) 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 23001922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46747008000).

23001922944 is an abundant number, since it is smaller than the sum of its proper divisors (70492093056).

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

23001922944 is a wasteful number, since it uses less digits than its factorization.

23001922944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 23001922944 in words is "twenty-three billion, one million, nine hundred twenty-two thousand, nine hundred forty-four".