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4222646688 = 253133383531
BaseRepresentation
bin1111101110110000…
…0111100110100000
3101220021122200021210
43323230013212200
532121444143223
61535001550120
7206432622201
oct37354074640
911807580253
104222646688
111877634a57
1299a1a5340
13523aa7a10
142c0b4d5a8
1519aaa4893
hexfbb079a0

4222646688 has 48 divisors (see below), whose sum is σ = 11937100896. Its totient is φ = 1299275520.

The previous prime is 4222646671. The next prime is 4222646689. The reversal of 4222646688 is 8866462224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4222646689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1690518 + ... + 1693013.

It is an arithmetic number, because the mean of its divisors is an integer number (248689602).

Almost surely, 24222646688 is an apocalyptic number.

4222646688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4222646688 is an abundant number, since it is smaller than the sum of its proper divisors (7714454208).

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

4222646688 is a wasteful number, since it uses less digits than its factorization.

4222646688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383557 (or 3383549 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 4222646688 is about 64981.8950785525. The cubic root of 4222646688 is about 1616.3233553830.

The spelling of 4222646688 in words is "four billion, two hundred twenty-two million, six hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3383531 6767062 10150593 13534124 20301186 27068248 40602372 43985903 54136496 81204744 87971806 108272992 131957709 162409488 175943612 263915418 324818976 351887224 527830836 703774448 1055661672 1407548896 2111323344 4222646688