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226601520 = 24352341051
BaseRepresentation
bin11011000000110…
…10101000110000
3120210101112211220
431200122220300
5431002222040
634252505040
75421036555
oct1540325060
9523345756
10226601520
11106a02092
1263a7b180
1337c3c452
1422148a2c
1514d612d0
hexd81aa30

226601520 has 80 divisors (see below), whose sum is σ = 733024512. Its totient is φ = 57798400.

The previous prime is 226601503. The next prime is 226601521. The reversal of 226601520 is 25106622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (226601521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15006 + ... + 26045.

Almost surely, 2226601520 is an apocalyptic number.

226601520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226601520 is an abundant number, since it is smaller than the sum of its proper divisors (506422992).

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

226601520 is a wasteful number, since it uses less digits than its factorization.

226601520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41090 (or 41084 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 226601520 is about 15053.2893415360. The cubic root of 226601520 is about 609.6598659182.

The spelling of 226601520 in words is "two hundred twenty-six million, six hundred one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 41051 82102 123153 164204 205255 246306 328408 410510 492612 615765 656816 821020 944173 985224 1231530 1642040 1888346 1970448 2463060 2832519 3284080 3776692 4720865 4926120 5665038 7553384 9441730 9852240 11330076 14162595 15106768 18883460 22660152 28325190 37766920 45320304 56650380 75533840 113300760 226601520