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22221012002202 = 23313614049128159
BaseRepresentation
bin1010000110101101110111…
…00001101110010110011010
32220200022022112101100102000
411003112323201232112122
510403032113033032302
6115132105245221430
74452262251400416
oct503267341562632
986608275340360
1022221012002202
117097972a7a2a2
1225aa6b7b61876
13c525810c2070
1456b707667d46
15288045d0631c
hex1435bb86e59a

22221012002202 has 128 divisors (see below), whose sum is σ = 54064039680000. Its totient is φ = 6723435248640.

The previous prime is 22221012002179. The next prime is 22221012002219. The reversal of 22221012002202 is 20220021012222.

22221012002202 is a `hidden beast` number, since 22 + 221 + 0 + 1 + 200 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173322199 + ... + 173450357.

It is an arithmetic number, because the mean of its divisors is an integer number (422375310000).

Almost surely, 222221012002202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221012002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27032019840000).

22221012002202 is an abundant number, since it is smaller than the sum of its proper divisors (31843027677798).

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

22221012002202 is a wasteful number, since it uses less digits than its factorization.

22221012002202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132293 (or 132287 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22221012002202 its reverse (20220021012222), we get a palindrome (42441033014424).

The spelling of 22221012002202 in words is "twenty-two trillion, two hundred twenty-one billion, twelve million, two thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 117 122 183 234 351 366 549 702 793 1098 1586 1647 2379 3294 4049 4758 7137 8098 12147 14274 21411 24294 36441 42822 52637 72882 105274 109323 128159 157911 218646 246989 256318 315822 384477 473733 493978 740967 768954 947466 1153431 1421199 1481934 1666067 2222901 2306862 2842398 3210857 3332134 3460293 4445802 4998201 6421714 6668703 6920586 7817699 9632571 9996402 13337406 14994603 15635398 19265142 23453097 28897713 29989206 44983809 46906194 57795426 70359291 86693139 89967618 101630087 140718582 173386278 203260174 211077873 304890261 422155746 518915791 609780522 914670783 1037831582 1556747373 1829341566 2744012349 3113494746 4670242119 5488024698 6745905283 9340484238 13491810566 14010726357 20237715849 28021452714 31653863251 40475431698 60713147547 63307726502 94961589753 121426295094 182139442641 189923179506 284884769259 364278885282 411500222263 569769538518 823000444526 854654307777 1234500666789 1709308615554 2469001333578 3703502000367 7407004000734 11110506001101 22221012002202