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4334922272 = 2510321132
BaseRepresentation
bin1000000100110000…
…11010101000100000
3102012002220212102202
410002120122220200
532334220003042
61554052232332
7212265142232
oct40230325040
912162825382
104334922272
111924a5029a
12a0b90b6a8
13541128a85
142d1a18252
151a5881632
hex10261aa20

4334922272 has 54 divisors (see below), whose sum is σ = 8694981477. Its totient is φ = 2127422976.

The previous prime is 4334922247. The next prime is 4334922301. The reversal of 4334922272 is 2722294334.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2737800976 + 1597121296 = 52324^2 + 39964^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=46556.

It is a super-2 number, since 2×43349222722 = 37583102208563283968, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38362088 + ... + 38362200.

Almost surely, 24334922272 is an apocalyptic number.

It is an amenable number.

4334922272 is an abundant number, since it is smaller than the sum of its proper divisors (4360059205).

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

4334922272 is an equidigital number, since it uses as much as digits as its factorization.

4334922272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 218 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The square root of 4334922272 is about 65840.1266098418. The cubic root of 4334922272 is about 1630.5236592677.

The spelling of 4334922272 in words is "four billion, three hundred thirty-four million, nine hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 103 113 206 226 412 452 824 904 1648 1808 3296 3616 10609 11639 12769 21218 23278 25538 42436 46556 51076 84872 93112 102152 169744 186224 204304 339488 372448 408608 1198817 1315207 2397634 2630414 4795268 5260828 9590536 10521656 19181072 21043312 38362144 42086624 135466321 270932642 541865284 1083730568 2167461136 4334922272