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22220021021022 = 232114091282121401
BaseRepresentation
bin1010000110101100000000…
…11101011011100101011110
32220200012202110200021210100
411003112000131123211132
510403023100340133042
6115131423045121530
74452225556241436
oct503260035334536
986605673607710
1022220021021022
117097504656490
1225aa4800b92a6
13c524539c1c76
1456b651bc72c6
15287ed8d0724c
hex14358075b95e

22220021021022 has 96 divisors (see below), whose sum is σ = 52655027274720. Its totient is φ = 6716039040000.

The previous prime is 22220021020931. The next prime is 22220021021083. The reversal of 22220021021022 is 22012012002222.

22220021021022 is a `hidden beast` number, since 2 + 2 + 220 + 0 + 210 + 210 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22220021020986 and 22220021021004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1038259522 + ... + 1038280922.

It is an arithmetic number, because the mean of its divisors is an integer number (548489867445).

Almost surely, 222220021021022 is an apocalyptic number.

22220021021022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22220021021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26327513637360).

22220021021022 is an abundant number, since it is smaller than the sum of its proper divisors (30435006253698).

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

22220021021022 is a wasteful number, since it uses less digits than its factorization.

22220021021022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34650 (or 34647 counting only the distinct ones).

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

Adding to 22220021021022 its reverse (22012012002222), we get a palindrome (44232033023244).

The spelling of 22220021021022 in words is "twenty-two trillion, two hundred twenty billion, twenty-one million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 409 818 1227 2454 3681 4499 7362 8998 12821 13497 21401 25642 26994 38463 40491 42802 64203 76926 80982 115389 128406 141031 192609 230778 235411 282062 385218 423093 470822 706233 846186 1269279 1412466 2118699 2538558 4237398 5243789 8753009 10487578 15731367 17506018 26259027 31462734 47194101 52518054 57681679 78777081 94388202 96283099 115363358 157554162 173045037 192566198 274382221 288849297 346090074 519135111 548764442 577698594 823146663 866547891 1038270222 1646293326 1733095782 2469439989 3018204431 4938879978 6036408862 9054613293 18109226586 27163839879 54327679758 112222328389 224444656778 336666985167 673333970334 1010000955501 1234445612279 2020001911002 2468891224558 3703336836837 7406673673674 11110010510511 22220021021022