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226320264 = 23331047779
BaseRepresentation
bin11010111110101…
…01111110001000
3120202212021001000
431133111332020
5430414222024
634242455000
75415455562
oct1537257610
9522767030
10226320264
1110682a845
1263964460
1337b71421
14220b4332
1514d07cc9
hexd7d5f88

226320264 has 32 divisors (see below), whose sum is σ = 628668000. Its totient is φ = 75440016.

The previous prime is 226320251. The next prime is 226320271. The reversal of 226320264 is 462023622.

226320264 is a `hidden beast` number, since 2 + 2 + 632 + 0 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 523674 + ... + 524105.

It is an arithmetic number, because the mean of its divisors is an integer number (19645875).

Almost surely, 2226320264 is an apocalyptic number.

226320264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226320264 is an abundant number, since it is smaller than the sum of its proper divisors (402347736).

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

226320264 is a wasteful number, since it uses less digits than its factorization.

226320264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047794 (or 1047784 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 226320264 is about 15043.9444295703. The cubic root of 226320264 is about 609.4075265005.

Adding to 226320264 its reverse (462023622), we get a palindrome (688343886).

The spelling of 226320264 in words is "two hundred twenty-six million, three hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1047779 2095558 3143337 4191116 6286674 8382232 9430011 12573348 18860022 25146696 28290033 37720044 56580066 75440088 113160132 226320264