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1225325052 = 22327291071567
BaseRepresentation
bin100100100001000…
…1111100111111100
310011101122221222100
41021002033213330
510002140400202
6321330545100
742236043150
oct11102174774
93141587870
101225325052
11579733936
122a2438190
13166b20613
14b8a43060
157288e41c
hex4908f9fc

1225325052 has 144 divisors (see below), whose sum is σ = 3698472960. Its totient is φ = 334647936.

The previous prime is 1225325047. The next prime is 1225325053. The reversal of 1225325052 is 2505235221.

1225325052 is a `hidden beast` number, since 122 + 5 + 32 + 505 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225325053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 781173 + ... + 782739.

It is an arithmetic number, because the mean of its divisors is an integer number (25683840).

Almost surely, 21225325052 is an apocalyptic number.

1225325052 is a gapful number since it is divisible by the number (12) 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 1225325052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

1225325052 is an abundant number, since it is smaller than the sum of its proper divisors (2473147908).

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

1225325052 is a wasteful number, since it uses less digits than its factorization.

1225325052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1225325052 is about 35004.6432919977. The cubic root of 1225325052 is about 1070.0821120786.

The spelling of 1225325052 in words is "one billion, two hundred twenty-five million, three hundred twenty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 107 116 126 174 203 214 252 261 321 348 406 428 522 609 642 749 812 963 1044 1218 1284 1498 1567 1827 1926 2247 2436 2996 3103 3134 3654 3852 4494 4701 6206 6268 6741 7308 8988 9309 9402 10969 12412 13482 14103 18618 18804 21721 21938 26964 27927 28206 32907 37236 43442 43876 45443 55854 56412 65163 65814 86884 90886 98721 111708 130326 131628 136329 167669 181772 195489 197442 260652 272658 318101 335338 390978 394884 408987 503007 545316 636202 670676 781956 817974 954303 1006014 1173683 1272404 1509021 1635948 1908606 2012028 2347366 2862909 3018042 3521049 3817212 4694732 4862401 5725818 6036084 7042098 9724802 10563147 11451636 14084196 14587203 19449604 21126294 29174406 34036807 42252588 43761609 58348812 68073614 87523218 102110421 136147228 175046436 204220842 306331263 408441684 612662526 1225325052