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34221522152 = 232941101179199
BaseRepresentation
bin11111110111110000…
…101111110011101000
310021022221211110002102
4133313300233303220
51030041202202102
623415433552532
72321020065416
oct376760576350
9107287743072
1034221522152
1113571180114
126770875748
1332c4b67cbc
141928d842b6
15d5455a402
hex7f7c2fce8

34221522152 has 128 divisors (see below), whose sum is σ = 69400800000. Its totient is φ = 15789312000.

The previous prime is 34221522149. The next prime is 34221522157. The reversal of 34221522152 is 25122512243.

It is a happy number.

It is a super-2 number, since 2×342215221522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (34221522157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171967349 + ... + 171967547.

It is an arithmetic number, because the mean of its divisors is an integer number (542193750).

Almost surely, 234221522152 is an apocalyptic number.

It is an amenable number.

34221522152 is an abundant number, since it is smaller than the sum of its proper divisors (35179277848).

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

34221522152 is a wasteful number, since it uses less digits than its factorization.

34221522152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 551 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

Subtracting from 34221522152 its reverse (25122512243), we obtain a palindrome (9099009909).

The spelling of 34221522152 in words is "thirty-four billion, two hundred twenty-one million, five hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 29 41 58 82 101 116 164 179 199 202 232 328 358 398 404 716 796 808 1189 1432 1592 2378 2929 4141 4756 5191 5771 5858 7339 8159 8282 9512 10382 11542 11716 14678 16318 16564 18079 20099 20764 23084 23432 29356 32636 33128 35621 36158 40198 41528 46168 58712 65272 71242 72316 80396 120089 142484 144632 160792 212831 236611 240178 284968 425662 473222 480356 524291 582871 741239 824059 851324 946444 960712 1033009 1048582 1165742 1460461 1482478 1648118 1702648 1892888 2066018 2097164 2331484 2920922 2964956 3296236 3597721 4132036 4194328 4662968 5841844 5929912 6592472 7195442 8264072 11683688 14390884 21495931 23897711 28781768 42353369 42991862 47795422 84706738 85983724 95590844 104333909 147506561 169413476 171967448 191181688 208667818 295013122 338826952 417335636 590026244 834671272 1180052488 4277690269 8555380538 17110761076 34221522152