Search a number
-
+
264477220 = 225710318341
BaseRepresentation
bin11111100001110…
…01101000100100
3200102122211112121
433300321220210
51020201232340
642124355324
76361006420
oct1760715044
9612584477
10264477220
11126321717
12746a5b44
1342a410c7
14271a7b80
151834394a
hexfc39a24

264477220 has 48 divisors (see below), whose sum is σ = 640942848. Its totient is φ = 89792640.

The previous prime is 264477217. The next prime is 264477251. The reversal of 264477220 is 22774462.

264477220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5250 + ... + 23590.

It is an arithmetic number, because the mean of its divisors is an integer number (13352976).

Almost surely, 2264477220 is an apocalyptic number.

264477220 is a gapful number since it is divisible by the number (20) 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 264477220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320471424).

264477220 is an abundant number, since it is smaller than the sum of its proper divisors (376465628).

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

264477220 is a wasteful number, since it uses less digits than its factorization.

264477220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18460 (or 18458 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 264477220 is about 16262.7556090596. The cubic root of 264477220 is about 641.8931736088.

The spelling of 264477220 in words is "two hundred sixty-four million, four hundred seventy-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2884 3605 7210 14420 18341 36682 73364 91705 128387 183410 256774 366820 513548 641935 1283870 1889123 2567740 3778246 7556492 9445615 13223861 18891230 26447722 37782460 52895444 66119305 132238610 264477220