Search a number
-
+
23297467295025 = 3452741121992
BaseRepresentation
bin1010100110000010111010…
…10000110010010100110001
310001111012211112221001210000
411103001131100302110301
511023201203111420100
6121314413030100213
74623120646410000
oct523013520622461
9101435745831700
1023297467295025
117472444a19300
1227432567aa669
13cccc32001b31
145a7863b70c37
152a604974c900
hex15305d432531

23297467295025 has 675 divisors, whose sum is σ = 55616774434683. Its totient is φ = 9633410740800.

The previous prime is 23297467294987. The next prime is 23297467295027. The reversal of 23297467295025 is 52059276479232.

The square root of 23297467295025 is 4826745.

It is a perfect power (a square), and thus also a powerful number.

23297467295025 is a `hidden beast` number, since 2 + 32 + 9 + 74 + 6 + 7 + 29 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8387088226209 + 14910379068816 = 2896047^2 + 3861396^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is not a de Polignac number, because 23297467295025 - 213 = 23297467286833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (23297467295027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 117072699876 + ... + 117072700074.

Almost surely, 223297467295025 is an apocalyptic number.

23297467295025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23297467295025 is the 4826745-th square number.

23297467295025 is the 2413373-rd centered octagonal number.

It is an amenable number.

23297467295025 is an abundant number, since it is smaller than the sum of its proper divisors (32319307139658).

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

23297467295025 is an frugal number, since it uses more digits than its factorization.

23297467295025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 23297467295025 in words is "twenty-three trillion, two hundred ninety-seven billion, four hundred sixty-seven million, two hundred ninety-five thousand, twenty-five".