Search a number
-
+
21825925696 = 265923132
BaseRepresentation
bin10100010100111011…
…010011001001000000
32002100002022220102101
4110110323103021000
5324144414110241
614005433200144
71401603210301
oct242473231100
962302286371
1021825925696
119290191023
124291560054
13209aa74343
1410b09ca7a8
1587b1e5e31
hex514ed3240

21825925696 has 63 divisors (see below), whose sum is σ = 44198553081. Its totient is φ = 10693722624.

The previous prime is 21825925669. The next prime is 21825925729. The reversal of 21825925696 is 69652952812.

The square root of 21825925696 is 147736.

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., 139240000 + 21686685696 = 11800^2 + 147264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69731236 + ... + 69731548.

Almost surely, 221825925696 is an apocalyptic number.

21825925696 is the 147736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21825925696

21825925696 is an abundant number, since it is smaller than the sum of its proper divisors (22372627385).

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

21825925696 is an frugal number, since it uses more digits than its factorization.

21825925696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 374 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 55.

The spelling of 21825925696 in words is "twenty-one billion, eight hundred twenty-five million, nine hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 59 64 118 236 313 472 626 944 1252 1888 2504 3481 3776 5008 6962 10016 13924 18467 20032 27848 36934 55696 73868 97969 111392 147736 195938 222784 295472 391876 590944 783752 1089553 1181888 1567504 2179106 3135008 4358212 5780171 6270016 8716424 11560342 17432848 23120684 34865696 46241368 69731392 92482736 184965472 341030089 369930944 682060178 1364120356 2728240712 5456481424 10912962848 21825925696