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6225512800 = 2552132112837
BaseRepresentation
bin1011100110001000…
…11100100101100000
3121001212101211002011
411303010130211200
5100222212402200
62505430202304
7310162662043
oct56304344540
917055354064
106225512800
112705159a01
121258ab3394
13782a167b0
14430b52c5a
152668315ba
hex17311c960

6225512800 has 144 divisors (see below), whose sum is σ = 16450478352. Its totient is φ = 2286950400.

The previous prime is 6225512789. The next prime is 6225512801. The reversal of 6225512800 is 82155226.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6225512801) 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, 2192982 + ... + 2195818.

It is an arithmetic number, because the mean of its divisors is an integer number (114239433).

Almost surely, 26225512800 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 6225512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225239176).

6225512800 is an abundant number, since it is smaller than the sum of its proper divisors (10224965552).

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

6225512800 is a wasteful number, since it uses less digits than its factorization.

6225512800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 6225512800 is about 78901.9188613306. The cubic root of 6225512800 is about 1839.6069576361.

The spelling of 6225512800 in words is "six billion, two hundred twenty-five million, five hundred twelve thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 211 260 325 400 416 422 520 650 800 844 1040 1055 1300 1688 2080 2110 2600 2743 2837 3376 4220 5200 5275 5486 5674 6752 8440 10400 10550 10972 11348 13715 14185 16880 21100 21944 22696 27430 28370 33760 36881 42200 43888 45392 54860 56740 68575 70925 73762 84400 87776 90784 109720 113480 137150 141850 147524 168800 184405 219440 226960 274300 283700 295048 368810 438880 453920 548600 567400 590096 598607 737620 922025 1097200 1134800 1180192 1197214 1475240 1844050 2194400 2269600 2394428 2950480 2993035 3688100 4788856 5900960 5986070 7376200 7781891 9577712 11972140 14752400 14965175 15563782 19155424 23944280 29504800 29930350 31127564 38909455 47888560 59860700 62255128 77818910 95777120 119721400 124510256 155637820 194547275 239442800 249020512 311275640 389094550 478885600 622551280 778189100 1245102560 1556378200 3112756400 6225512800