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2264103400 = 235213870809
BaseRepresentation
bin1000011011110011…
…0111100111101000
312211210022100222111
42012330313213220
514114102302100
61012355332104
7110051363356
oct20674674750
95753270874
102264103400
11a62033439
125322b1034
132a10b7270
141769a67d6
15d3b806ba
hex86f379e8

2264103400 has 48 divisors (see below), whose sum is σ = 5668973100. Its totient is φ = 835975680.

The previous prime is 2264103379. The next prime is 2264103407. The reversal of 2264103400 is 43014622.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 211469764 + 2052633636 = 14542^2 + 45306^2 .

It is not an unprimeable number, because it can be changed into a prime (2264103407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432805 + ... + 438004.

Almost surely, 22264103400 is an apocalyptic number.

2264103400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264103400 is an abundant number, since it is smaller than the sum of its proper divisors (3404869700).

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

2264103400 is a wasteful number, since it uses less digits than its factorization.

2264103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870838 (or 870829 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2264103400 is about 47582.5955576196. The cubic root of 2264103400 is about 1313.1028752666.

The spelling of 2264103400 in words is "two billion, two hundred sixty-four million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 870809 1741618 3483236 4354045 6966472 8708090 11320517 17416180 21770225 22641034 34832360 43540450 45282068 56602585 87080900 90564136 113205170 174161800 226410340 283012925 452820680 566025850 1132051700 2264103400