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2261408 = 25174157
BaseRepresentation
bin1000101000000110100000
311020220001212
420220012200
51034331113
6120245252
725136012
oct10500640
94226055
102261408
111305036
12910828
13612416
1442c1b2
152ea0a8
hex2281a0

2261408 has 24 divisors (see below), whose sum is σ = 4715172. Its totient is φ = 1063936.

The previous prime is 2261407. The next prime is 2261447. The reversal of 2261408 is 8041622.

It can be written as a sum of positive squares in 2 ways, for example, as 2226064 + 35344 = 1492^2 + 188^2 .

It is a super-2 number, since 2×22614082 = 10227932284928, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2261407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1535 + ... + 2622.

22261408 is an apocalyptic number.

It is an amenable number.

2261408 is an abundant number, since it is smaller than the sum of its proper divisors (2453764).

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

2261408 is a wasteful number, since it uses less digits than its factorization.

2261408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2261408 is about 1503.7978587563. The cubic root of 2261408 is about 131.2581588277.

The spelling of 2261408 in words is "two million, two hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 4157 8314 16628 33256 66512 70669 133024 141338 282676 565352 1130704 2261408