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1225356264 = 2332113374591
BaseRepresentation
bin100100100001001…
…0111001111101000
310011101201112210100
41021002113033220
510002142400024
6321331345400
742236233146
oct11102271750
93141645710
101225356264
11579755330
122a2452260
13166b318a2
14b8a50596
15728987c9
hex490973e8

1225356264 has 96 divisors (see below), whose sum is σ = 3631904640. Its totient is φ = 370137600.

The previous prime is 1225356263. The next prime is 1225356287. The reversal of 1225356264 is 4626535221.

1225356264 is a `hidden beast` number, since 1 + 2 + 2 + 535 + 62 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1225356263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264609 + ... + 269199.

It is an arithmetic number, because the mean of its divisors is an integer number (37832340).

Almost surely, 21225356264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225356264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815952320).

1225356264 is an abundant number, since it is smaller than the sum of its proper divisors (2406548376).

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

1225356264 is a wasteful number, since it uses less digits than its factorization.

1225356264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4951 (or 4944 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 1225356264 is about 35005.0891157272. The cubic root of 1225356264 is about 1070.0911978634.

The spelling of 1225356264 in words is "one billion, two hundred twenty-five million, three hundred fifty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 337 396 674 792 1011 1348 2022 2696 3033 3707 4044 4591 6066 7414 8088 9182 11121 12132 13773 14828 18364 22242 24264 27546 29656 33363 36728 41319 44484 50501 55092 66726 82638 88968 101002 110184 133452 151503 165276 202004 266904 303006 330552 404008 454509 606012 909018 1212024 1547167 1818036 3094334 3636072 4641501 6188668 9283002 12377336 13924503 17018837 18566004 27849006 34037674 37132008 51056511 55698012 68075348 102113022 111396024 136150696 153169533 204226044 306339066 408452088 612678132 1225356264