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4422263136 = 253113407657
BaseRepresentation
bin1000001111001011…
…00110000101100000
3102102012021020120120
410013211212011200
533024044410021
62010452240240
7214405421304
oct40745460540
912365236516
104422263136
11196a285825
12a35010080
13556259565
142dd471d04
151ad3852c6
hex107966160

4422263136 has 48 divisors (see below), whose sum is σ = 11711199024. Its totient is φ = 1461039104.

The previous prime is 4422263113. The next prime is 4422263143. The reversal of 4422263136 is 6313622244.

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

It is a super-2 number, since 2×44222631362 = 39112822488049108992, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4422263097 and 4422263106.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 192981 + ... + 214676.

It is an arithmetic number, because the mean of its divisors is an integer number (243983313).

Almost surely, 24422263136 is an apocalyptic number.

It is an amenable number.

4422263136 is an abundant number, since it is smaller than the sum of its proper divisors (7288935888).

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

4422263136 is a wasteful number, since it uses less digits than its factorization.

4422263136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407783 (or 407775 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 4422263136 is about 66500.0987668439. The cubic root of 4422263136 is about 1641.4016294351.

The spelling of 4422263136 in words is "four billion, four hundred twenty-two million, two hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 407657 815314 1222971 1630628 2445942 3261256 4891884 6522512 9783768 13045024 19567536 39135072 46065241 92130482 138195723 184260964 276391446 368521928 552782892 737043856 1105565784 1474087712 2211131568 4422263136