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23074825216 = 2104721012
BaseRepresentation
bin10101011111010111…
…011110010000000000
32012120010100120111011
4111133113132100000
5334224123401331
614333405330304
71444546530622
oct253727362000
965503316434
1023074825216
119871156793
12457b866994
13223972a041
14118c808c12
15900b903b1
hex55f5de400

23074825216 has 99 divisors (see below), whose sum is σ = 47600673937. Its totient is φ = 11180134400.

The previous prime is 23074825159. The next prime is 23074825217. The reversal of 23074825216 is 61252847032.

The square root of 23074825216 is 151904.

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

It can be written as a sum of positive squares in only one way, i.e., 22170018816 + 904806400 = 148896^2 + 30080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23074825217) 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 8 ways as a sum of consecutive naturals, for example, 228463566 + ... + 228463666.

Almost surely, 223074825216 is an apocalyptic number.

23074825216 is the 151904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23074825216

23074825216 is an abundant number, since it is smaller than the sum of its proper divisors (24525848721).

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

23074825216 is an frugal number, since it uses more digits than its factorization.

23074825216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 23074825216 in words is "twenty-three billion, seventy-four million, eight hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 101 128 188 202 256 376 404 512 752 808 1024 1504 1616 2209 3008 3232 4418 4747 6016 6464 8836 9494 10201 12032 12928 17672 18988 20402 24064 25856 35344 37976 40804 48128 51712 70688 75952 81608 103424 141376 151904 163216 223109 282752 303808 326432 446218 479447 565504 607616 652864 892436 958894 1131008 1215232 1305728 1784872 1917788 2262016 2430464 2611456 3569744 3835576 4860928 5222912 7139488 7671152 10445824 14278976 15342304 22534009 28557952 30684608 45068018 57115904 61369216 90136036 114231808 122738432 180272072 228463616 245476864 360544144 490953728 721088288 1442176576 2884353152 5768706304 11537412608 23074825216