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23122843488 = 25321761139557
BaseRepresentation
bin10101100010001110…
…101001011101100000
32012200110201011011200
4111202032221131200
5334323421442423
614342242441200
71446001632603
oct254216513540
965613634150
1023122843488
119896273608
124593963200
132246670414
141194d4833a
15904ec7d43
hex5623a9760

23122843488 has 288 divisors, whose sum is σ = 71401992480. Its totient is φ = 7071252480.

The previous prime is 23122843477. The next prime is 23122843517. The reversal of 23122843488 is 88434822132.

23122843488 is a `hidden beast` number, since 2 + 3 + 122 + 8 + 43 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×231228434882 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41512906 + ... + 41513462.

It is an arithmetic number, because the mean of its divisors is an integer number (247923585).

Almost surely, 223122843488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23122843488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35700996240).

23122843488 is an abundant number, since it is smaller than the sum of its proper divisors (48279148992).

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

23122843488 is a wasteful number, since it uses less digits than its factorization.

23122843488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 23122843488 in words is "twenty-three billion, one hundred twenty-two million, eight hundred forty-three thousand, four hundred eighty-eight".