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1225524664 = 2371310911543
BaseRepresentation
bin100100100001100…
…0000010110111000
310011102001002210101
41021003000112320
510002213242124
6321335125144
742240534130
oct11103002670
93142032711
101225524664
1157985a901
122a25137b4
13166b90430
14b8a95ac0
15728cd644
hex490c05b8

1225524664 has 64 divisors (see below), whose sum is σ = 2832560640. Its totient is φ = 484064640.

The previous prime is 1225524653. The next prime is 1225524667. The reversal of 1225524664 is 4664255221.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225524667) 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, 793477 + ... + 795019.

It is an arithmetic number, because the mean of its divisors is an integer number (44258760).

Almost surely, 21225524664 is an apocalyptic number.

1225524664 is a gapful number since it is divisible by the number (14) 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 1225524664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416280320).

1225524664 is an abundant number, since it is smaller than the sum of its proper divisors (1607035976).

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

1225524664 is a wasteful number, since it uses less digits than its factorization.

1225524664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2656 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The square root of 1225524664 is about 35007.4943976286. The cubic root of 1225524664 is about 1070.1402162887.

Adding to 1225524664 its reverse (4664255221), we get a palindrome (5889779885).

The spelling of 1225524664 in words is "one billion, two hundred twenty-five million, five hundred twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1091 1543 2182 3086 4364 6172 7637 8728 10801 12344 14183 15274 20059 21602 28366 30548 40118 43204 56732 61096 80236 86408 99281 113464 140413 160472 198562 280826 397124 561652 794248 1123304 1683413 3366826 6733652 11783891 13467304 21884369 23567782 43768738 47135564 87537476 94271128 153190583 175074952 306381166 612762332 1225524664