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221311312404 = 2237213238912119
BaseRepresentation
bin1100111000011100101…
…1101010001000010100
3210011020120021112012020
43032013023222020110
512111221143444104
6245400301253140
721663205055100
oct3160713521024
9704216245166
10221311312404
1185948514686
1236a848641b0
1317b3c592ac0
14a9d65d0900
155b543b72d9
hex33872ea214

221311312404 has 144 divisors (see below), whose sum is σ = 647234179200. Its totient is φ = 58338572544.

The previous prime is 221311312403. The next prime is 221311312421. The reversal of 221311312404 is 404213113122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221311312403) 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 47 ways as a sum of consecutive naturals, for example, 18255457 + ... + 18267575.

It is an arithmetic number, because the mean of its divisors is an integer number (4494681800).

Almost surely, 2221311312404 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 221311312404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323617089600).

221311312404 is an abundant number, since it is smaller than the sum of its proper divisors (425922866796).

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

221311312404 is a wasteful number, since it uses less digits than its factorization.

221311312404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14542 (or 14533 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221311312404 its reverse (404213113122), we get a palindrome (625524425526).

The spelling of 221311312404 in words is "two hundred twenty-one billion, three hundred eleven million, three hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2389 2548 3822 4778 7167 7644 9556 12119 14334 16723 24238 28668 31057 33446 36357 48476 50169 62114 66892 72714 84833 93171 100338 117061 124228 145428 157547 169666 186342 200676 217399 234122 254499 315094 339332 351183 372684 434798 468244 472641 508998 593831 630188 652197 702366 869596 945282 1017996 1102829 1187662 1304394 1404732 1521793 1781493 1890564 2205658 2375324 2608788 3043586 3308487 3562986 4411316 4565379 6087172 6616974 7125972 7719803 9130758 13233948 15439606 18261516 23159409 28952291 30879212 46318818 57904582 86856873 92637636 115809164 173713746 202666037 347427492 376379783 405332074 607998111 752759566 810664148 1129139349 1215996222 1418662259 1505519132 2258278698 2431992444 2634658481 2837324518 4255986777 4516557396 5269316962 5674649036 7903975443 8511973554 10538633924 15807950886 17023947108 18442609367 31615901772 36885218734 55327828101 73770437468 110655656202 221311312404