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1225854252 = 2232737731801
BaseRepresentation
bin100100100010001…
…0000110100101100
310011102122211220100
41021010100310230
510002304314002
6321350151100
742243406050
oct11104206454
93142584810
101225854252
11579a65497
122a2652490
13166c7745c
14b8b3dc60
157294611c
hex49110d2c

1225854252 has 144 divisors (see below), whose sum is σ = 3688939072. Its totient is φ = 335923200.

The previous prime is 1225854247. The next prime is 1225854283. The reversal of 1225854252 is 2524585221.

1225854252 is a `hidden beast` number, since 1 + 22 + 585 + 4 + 2 + 52 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 679752 + ... + 681552.

Almost surely, 21225854252 is an apocalyptic number.

1225854252 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 1225854252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844469536).

1225854252 is an abundant number, since it is smaller than the sum of its proper divisors (2463084820).

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

1225854252 is a wasteful number, since it uses less digits than its factorization.

1225854252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1923 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 1225854252 is about 35012.2014732007. The cubic root of 1225854252 is about 1070.2361408534.

The spelling of 1225854252 in words is "one billion, two hundred twenty-five million, eight hundred fifty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 73 74 84 111 126 146 148 219 222 252 259 292 333 438 444 511 518 657 666 777 876 1022 1036 1314 1332 1533 1554 1801 2044 2331 2628 2701 3066 3108 3602 4599 4662 5402 5403 6132 7204 8103 9198 9324 10804 10806 12607 16206 16209 18396 18907 21612 24309 25214 32412 32418 37814 37821 48618 50428 56721 64836 66637 75628 75642 97236 113442 113463 131473 133274 151284 170163 199911 226884 226926 262946 266548 340326 394419 399822 453852 466459 525892 599733 680652 788838 799644 920311 932918 1183257 1199466 1399377 1577676 1840622 1865836 2366514 2398932 2760933 2798754 3681244 4198131 4733028 4864501 5521866 5597508 8282799 8396262 9729002 11043732 14593503 16565598 16792524 19458004 29187006 33131196 34051507 43780509 58374012 68103014 87561018 102154521 136206028 175122036 204309042 306463563 408618084 612927126 1225854252