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221402105034 = 231129397291373
BaseRepresentation
bin1100111000110010011…
…0000000010011001010
3210011110220010021021020
43032030212000103022
512111412414330114
6245413303253310
721665356561455
oct3161446002312
9704426107236
10221402105034
1185994797510
1236aab14a236
1317b55331756
14aa046a649c
155b5c34daa9
hex338c9804ca

221402105034 has 64 divisors (see below), whose sum is σ = 500976800640. Its totient is φ = 64614654720.

The previous prime is 221402105033. The next prime is 221402105039. The reversal of 221402105034 is 430501204122.

It is a super-2 number, since 2×2214021050342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221402104995 and 221402105013.

It is not an unprimeable number, because it can be changed into a prime (221402105033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614172 + ... + 905544.

It is an arithmetic number, because the mean of its divisors is an integer number (7827762510).

Almost surely, 2221402105034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221402105034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250488400320).

221402105034 is an abundant number, since it is smaller than the sum of its proper divisors (279574695606).

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

221402105034 is a wasteful number, since it uses less digits than its factorization.

221402105034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291815.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 221402105034 its reverse (430501204122), we get a palindrome (651903309156).

The spelling of 221402105034 in words is "two hundred twenty-one billion, four hundred two million, one hundred five thousand, thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 397 638 794 957 1191 1914 2382 4367 8734 11513 13101 23026 26202 34539 69078 126643 253286 291373 379929 582746 759858 874119 1748238 3205103 6410206 8449817 9615309 16899634 19230618 25349451 50698902 92947987 115675081 185895974 231350162 278843961 347025243 557687922 694050486 1272425891 2544851782 3354577349 3817277673 6709154698 7634555346 10063732047 20127464094 36900350839 73800701678 110701052517 221402105034