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56225201208 = 233113159116443
BaseRepresentation
bin110100010111010010…
…000111110000111000
312101010102122011021120
4310113102013300320
51410122122414313
641455101105240
74030212216261
oct642722076070
9171112564246
1056225201208
1121932729940
12aa91858220
1353c06a7737
142a15401968
1516e1163d23
hexd17487c38

56225201208 has 128 divisors (see below), whose sum is σ = 160972185600. Its totient is φ = 16208726400.

The previous prime is 56225201203. The next prime is 56225201213. The reversal of 56225201208 is 80210252265.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56225201203) and next prime (56225201213).

It is a super-2 number, since 2×562252012082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56225201203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424635 + ... + 541077.

It is an arithmetic number, because the mean of its divisors is an integer number (1257595200).

Almost surely, 256225201208 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 56225201208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80486092800).

56225201208 is an abundant number, since it is smaller than the sum of its proper divisors (104746984392).

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

56225201208 is a wasteful number, since it uses less digits than its factorization.

56225201208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116553 (or 116549 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 56225201208 in words is "fifty-six billion, two hundred twenty-five million, two hundred one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 59 62 66 88 93 118 124 132 177 186 236 248 264 341 354 372 472 649 682 708 744 1023 1298 1364 1416 1829 1947 2046 2596 2728 3658 3894 4092 5192 5487 7316 7788 8184 10974 14632 15576 20119 21948 40238 43896 60357 80476 116443 120714 160952 232886 241428 349329 465772 482856 698658 931544 1280873 1397316 2561746 2794632 3609733 3842619 5123492 6870137 7219466 7685238 10246984 10829199 13740274 14438932 15370476 20610411 21658398 27480548 28877864 30740952 39707063 41220822 43316796 54961096 75571507 79414126 82441644 86633592 119121189 151143014 158828252 164883288 212974247 226714521 238242378 302286028 317656504 425948494 453429042 476484756 604572056 638922741 851896988 906858084 952969512 1277845482 1703793976 1813716168 2342716717 2555690964 4685433434 5111381928 7028150151 9370866868 14056300302 18741733736 28112600604 56225201208