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256220601 = 3713938537
BaseRepresentation
bin11110100010110…
…01110110111001
3122212010100120220
433101121312321
51011043024401
641231410253
76230560560
oct1721316671
9585110526
10256220601
111216a236a
1271983989
134110cc30
1426058bd7
1517762336
hexf459db9

256220601 has 16 divisors (see below), whose sum is σ = 420465024. Its totient is φ = 135149184.

The previous prime is 256220599. The next prime is 256220623. The reversal of 256220601 is 106022652.

It is not a de Polignac number, because 256220601 - 21 = 256220599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256220201) 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 15 ways as a sum of consecutive naturals, for example, 468996 + ... + 469541.

It is an arithmetic number, because the mean of its divisors is an integer number (26279064).

Almost surely, 2256220601 is an apocalyptic number.

256220601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

256220601 is a deficient number, since it is larger than the sum of its proper divisors (164244423).

256220601 is a wasteful number, since it uses less digits than its factorization.

256220601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938560.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 256220601 is about 16006.8922967577. The cubic root of 256220601 is about 635.1427550169.

It can be divided in two parts, 25622060 and 1, that added together give a triangular number (25622061 = T7158).

The spelling of 256220601 in words is "two hundred fifty-six million, two hundred twenty thousand, six hundred one".

Divisors: 1 3 7 13 21 39 91 273 938537 2815611 6569759 12200981 19709277 36602943 85406867 256220601