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146942884 = 22112192292
BaseRepresentation
bin10001100001000…
…10101110100100
3101020111110202001
420300202232210
5300104133014
622325255044
73432664624
oct1060425644
9336443661
10146942884
1175a44400
1241264484
132459b56a
1415730884
15cd78974
hex8c22ba4

146942884 has 81 divisors (see below), whose sum is σ = 308953281. Its totient is φ = 61094880.

The previous prime is 146942879. The next prime is 146942933. The reversal of 146942884 is 488249641.

The square root of 146942884 is 12122.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 77053284 + 69889600 = 8778^2 + 8360^2 .

It is a super-2 number, since 2×1469428842 = 43184422316474912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5066982 + ... + 5067010.

Almost surely, 2146942884 is an apocalyptic number.

146942884 is the 12122-nd square number.

It is an amenable number.

146942884 is an abundant number, since it is smaller than the sum of its proper divisors (162010397).

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

146942884 is a wasteful number, since it uses less digits than its factorization.

146942884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The cubic root of 146942884 is about 527.6948468214.

It can be divided in two parts, 14694 and 2884, that added together give a triangular number (17578 = T187).

The spelling of 146942884 in words is "one hundred forty-six million, nine hundred forty-two thousand, eight hundred eighty-four".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 116 121 209 242 319 361 418 484 551 638 722 836 841 1102 1276 1444 1682 2204 2299 3364 3509 3971 4598 6061 7018 7942 9196 9251 10469 12122 14036 15884 15979 18502 20938 24244 31958 37004 41876 43681 63916 66671 87362 101761 115159 133342 174724 175769 203522 230318 266684 303601 351538 407044 460636 607202 703076 1214404 1266749 1933459 2533498 3339611 3866918 5066996 6679222 7733836 13358444 36735721 73471442 146942884