Search a number
-
+
23056600336 = 2472112172292
BaseRepresentation
bin10101011110010001…
…111100110100010000
32012111212001122122121
4111132101330310100
5334204442202321
614331514544024
71444235604100
oct253621746420
965455048577
1023056600336
119861939100
124575738014
132235a188a3
14118a223200
158ee290441
hex55e47cd10

23056600336 has 405 divisors, whose sum is σ = 62841236367. Its totient is φ = 8163133440.

The previous prime is 23056600313. The next prime is 23056600337. The reversal of 23056600336 is 63300665032.

The square root of 23056600336 is 151844.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2279107600 + 20777492736 = 47740^2 + 144144^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (23056600337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 795055170 + ... + 795055198.

Almost surely, 223056600336 is an apocalyptic number.

23056600336 is the 151844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23056600336

23056600336 is an abundant number, since it is smaller than the sum of its proper divisors (39784636031).

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

23056600336 is a wasteful number, since it uses less digits than its factorization.

23056600336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 34.

The spelling of 23056600336 in words is "twenty-three billion, fifty-six million, six hundred thousand, three hundred thirty-six".