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402202202020002 = 23283990112955541
BaseRepresentation
bin101101101110011001111111…
…1011000010001100010100010
31221202002011011222212212011200
41123130303333120101202202
5410204140102204120002
63543225050231022030
7150501102336145656
oct13334637730214242
91852064158785150
10402202202020002
11107176aa571791a
123913959380a916
131435667438c1b7
147146994820a66
153177307a4ab1c
hex16dccff6118a2

402202202020002 has 48 divisors (see below), whose sum is σ = 872573885951040. Its totient is φ = 133892700631200.

The previous prime is 402202202019941. The next prime is 402202202020007. The reversal of 402202202020002 is 200020202202204.

It is a happy number.

402202202020002 is a `hidden beast` number, since 4 + 0 + 220 + 220 + 20 + 200 + 0 + 2 = 666.

It is a super-2 number, since 2×4022022020200022 (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (402202202020007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134606352 + ... + 137561892.

It is an arithmetic number, because the mean of its divisors is an integer number (18178622623980).

Almost surely, 2402202202020002 is an apocalyptic number.

402202202020002 is an abundant number, since it is smaller than the sum of its proper divisors (470371683931038).

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

402202202020002 is a wasteful number, since it uses less digits than its factorization.

402202202020002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965399 (or 2965396 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 402202202020002 its reverse (200020202202204), we get a palindrome (602222404222206).

The spelling of 402202202020002 in words is "four hundred two trillion, two hundred two billion, two hundred two million, twenty thousand, two".

Divisors: 1 2 3 6 9 18 839 1678 2517 5034 7551 9011 15102 18022 27033 54066 81099 162198 2955541 5911082 7560229 8866623 15120458 17733246 22680687 26599869 45361374 53199738 68042061 136084122 2479698899 4959397798 7439096697 14878193394 22317290091 26632379951 44634580182 53264759902 79897139853 159794279706 239691419559 479382839118 22344566778889 44689133557778 67033700336667 134067400673334 201101101010001 402202202020002