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22233441321 = 3271347836959
BaseRepresentation
bin10100101101001101…
…110110010000101001
32010101111010211202200
4110231031312100221
5331013230110241
614114111450413
71414652063430
oct245515662051
963344124680
1022233441321
11947a21a5a3
124385b26a09
132134317750
14110cb8a117
158a1d914b6
hex52d376429

22233441321 has 96 divisors (see below), whose sum is σ = 40859320320. Its totient is φ = 11338088832.

The previous prime is 22233441319. The next prime is 22233441353. The reversal of 22233441321 is 12314433222.

22233441321 is a `hidden beast` number, since 2 + 2 + 2 + 334 + 4 + 1 + 321 = 666.

It is not a de Polignac number, because 22233441321 - 21 = 22233441319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22233441361) 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 95 ways as a sum of consecutive naturals, for example, 3191440 + ... + 3198398.

It is an arithmetic number, because the mean of its divisors is an integer number (425617920).

Almost surely, 222233441321 is an apocalyptic number.

22233441321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22233441321 is a deficient number, since it is larger than the sum of its proper divisors (18625878999).

22233441321 is a wasteful number, since it uses less digits than its factorization.

22233441321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115 (or 7112 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 22233441321 its reverse (12314433222), we get a palindrome (34547874543).

The spelling of 22233441321 in words is "twenty-two billion, two hundred thirty-three million, four hundred forty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 47 63 83 91 117 141 249 273 329 423 581 611 747 819 987 1079 1743 1833 2961 3237 3901 4277 5229 5499 6959 7553 9711 11703 12831 20877 22659 27307 35109 38493 48713 50713 62631 67977 81921 90467 146139 152139 245763 271401 327073 354991 438417 456417 577597 633269 814203 981219 1064973 1732791 1899807 2289511 2943657 3194919 4043179 4251949 5198373 5699421 6868533 7508761 12129537 12755847 20605599 22526283 27147059 29763643 36388611 38267541 52561327 67578849 81441177 89290929 157683981 190029413 244323531 267872787 352911767 473051943 570088239 1058735301 1710264717 2470382369 3176205903 7411147107 22233441321