Search a number
-
+
23442177024 = 2103272233761
BaseRepresentation
bin10101110101010000…
…110011110000000000
32020111201120222102200
4111311100303300000
5341002144131044
614434051113200
71456630134300
oct256520636000
966451528380
1023442177024
119a3a552622
1246628a2800
13229787a186
1411c5511600
15923055369
hex575433c00

23442177024 has 792 divisors, whose sum is σ = 85767465888. Its totient is φ = 6131220480.

The previous prime is 23442176977. The next prime is 23442177043. The reversal of 23442177024 is 42077124432.

23442177024 is a `hidden beast` number, since 23 + 442 + 177 + 0 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23442177024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 384297954 + ... + 384298014.

Almost surely, 223442177024 is an apocalyptic number.

23442177024 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 23442177024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42883732944).

23442177024 is an abundant number, since it is smaller than the sum of its proper divisors (62325288864).

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

23442177024 is a wasteful number, since it uses less digits than its factorization.

23442177024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 23442177024 in words is "twenty-three billion, four hundred forty-two million, one hundred seventy-seven thousand, twenty-four".