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22628815146 = 23274523597
BaseRepresentation
bin10101000100110010…
…000101000100101010
32011102001002220200200
4111010302011010222
5332320434041041
614221234013030
71430522520000
oct250462050452
964361086620
1022628815146
119662415823
124476417176
1321981c9462
1411494a8a70
158c693e1b6
hex544c8512a

22628815146 has 60 divisors (see below), whose sum is σ = 57197321922. Its totient is φ = 6465363408.

The previous prime is 22628815117. The next prime is 22628815151. The reversal of 22628815146 is 64151882622.

22628815146 is a `hidden beast` number, since 2 + 2 + 628 + 8 + 1 + 5 + 14 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22174485921 + 454329225 = 148911^2 + 21315^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 218581 + ... + 305016.

Almost surely, 222628815146 is an apocalyptic number.

22628815146 is an abundant number, since it is smaller than the sum of its proper divisors (34568506776).

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

22628815146 is an equidigital number, since it uses as much as digits as its factorization.

22628815146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523633 (or 523609 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 22628815146 in words is "twenty-two billion, six hundred twenty-eight million, eight hundred fifteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 2401 3087 4802 6174 7203 14406 21609 43218 523597 1047194 1570791 3141582 3665179 4712373 7330358 9424746 10995537 21991074 25656253 32986611 51312506 65973222 76968759 153937518 179593771 230906277 359187542 461812554 538781313 1077562626 1257156397 1616343939 2514312794 3232687878 3771469191 7542938382 11314407573 22628815146