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221134622221044 = 223372399121928351
BaseRepresentation
bin110010010001111011101010…
…100110101110001011110100
31001222222021010000222101121000
4302101323222212232023310
5212441032201242033134
62102151502031323300
764402310041155060
oct6221735246561364
91058867100871530
10221134622221044
11645077373044a4
1220975455680530
139650ba02105bc
143c86d895d6aa0
151a873441d1e99
hexc91eea9ae2f4

221134622221044 has 96 divisors (see below), whose sum is σ = 655486820352000. Its totient is φ = 63154983592800.

The previous prime is 221134622221031. The next prime is 221134622221081. The reversal of 221134622221044 is 440122226431122.

221134622221044 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 3 + 4 + 622 + 2 + 21 + 0 + 4 + 4 = 666.

It is a super-2 number, since 2×2211346222210442 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59150532 + ... + 62777819.

It is an arithmetic number, because the mean of its divisors is an integer number (6827987712000).

Almost surely, 2221134622221044 is an apocalyptic number.

It is an amenable number.

221134622221044 is an abundant number, since it is smaller than the sum of its proper divisors (434352198130956).

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

221134622221044 is a wasteful number, since it uses less digits than its factorization.

221134622221044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121930770 (or 121930762 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 221134622221044 its reverse (440122226431122), we get a palindrome (661256848652166).

The spelling of 221134622221044 in words is "two hundred twenty-one trillion, one hundred thirty-four billion, six hundred twenty-two million, two hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2399 4798 7197 9596 14394 16793 21591 28788 33586 43182 50379 64773 67172 86364 100758 129546 151137 201516 259092 302274 453411 604548 906822 1813644 121928351 243856702 365785053 487713404 731570106 853498457 1097355159 1463140212 1706996914 2194710318 2560495371 3292065477 3413993828 4389420636 5120990742 6584130954 7681486113 10241981484 13168261908 15362972226 23044458339 30725944452 46088916678 92177833356 292506114049 585012228098 877518342147 1170024456196 1755036684294 2047542798343 2632555026441 3510073368588 4095085596686 5265110052882 6142628395029 7897665079323 8190171193372 10530220105764 12285256790058 15795330158646 18427885185087 24570513580116 31590660317292 36855770370174 55283655555261 73711540740348 110567311110522 221134622221044