Search a number
-
+
2264375600 = 245225722027
BaseRepresentation
bin1000011011110111…
…1010000100110000
312211210211012100222
42012331322010300
514114140004400
61012405232212
7110053606064
oct20675720460
95753735328
102264375600
11a621a99a3
12532402668
132a1181126
14176a37aa4
15d3bd6185
hex86f7a130

2264375600 has 60 divisors (see below), whose sum is σ = 5461578264. Its totient is φ = 902184960.

The previous prime is 2264375591. The next prime is 2264375611. The reversal of 2264375600 is 65734622.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91787 + ... + 113813.

Almost surely, 22264375600 is an apocalyptic number.

2264375600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730789132).

2264375600 is an abundant number, since it is smaller than the sum of its proper divisors (3197202664).

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

2264375600 is a wasteful number, since it uses less digits than its factorization.

2264375600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22302 (or 22291 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 2264375600 is about 47585.4557611882. The cubic root of 2264375600 is about 1313.1554954016.

The spelling of 2264375600 in words is "two billion, two hundred sixty-four million, three hundred seventy-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 257 400 514 1028 1285 2056 2570 4112 5140 6425 10280 12850 20560 22027 25700 44054 51400 88108 102800 110135 176216 220270 352432 440540 550675 881080 1101350 1762160 2202700 4405400 5660939 8810800 11321878 22643756 28304695 45287512 56609390 90575024 113218780 141523475 226437560 283046950 452875120 566093900 1132187800 2264375600