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214668958224 = 24373120609539
BaseRepresentation
bin1100011111101101000…
…1000101101000010000
3202112002122111222020110
43013323101011220100
512004120223130344
6242341220441320
721336461016030
oct3077321055020
9675078458213
10214668958224
118304a037676
1235730249240
13173213bc206
14a5663718c0
1558b61973b9
hex31fb445a10

214668958224 has 80 divisors (see below), whose sum is σ = 654229237760. Its totient is φ = 59355469440.

The previous prime is 214668958219. The next prime is 214668958267. The reversal of 214668958224 is 422859866412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10294354 + ... + 10315185.

It is an arithmetic number, because the mean of its divisors is an integer number (8177865472).

Almost surely, 2214668958224 is an apocalyptic number.

214668958224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214668958224 is an abundant number, since it is smaller than the sum of its proper divisors (439560279536).

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

214668958224 is a wasteful number, since it uses less digits than its factorization.

214668958224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20609588 (or 20609582 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 57.

The spelling of 214668958224 in words is "two hundred fourteen billion, six hundred sixty-eight million, nine hundred fifty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 20609539 41219078 61828617 82438156 123657234 144266773 164876312 247314468 288533546 329752624 432800319 494628936 577067092 638895709 865600638 989257872 1154134184 1277791418 1731201276 1916687127 2308268368 2555582836 3462402552 3833374254 4472269963 5111165672 6924805104 7666748508 8944539926 10222331344 13416809889 15333497016 17889079852 26833619778 30666994032 35778159704 53667239556 71556319408 107334479112 214668958224