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2230149936 = 243724322051
BaseRepresentation
bin1000010011101101…
…0110001100110000
312202102102100120210
42010323112030300
514031404244221
61005143504120
7106156650600
oct20473261460
95672370523
102230149936
11a44952723
12522a58040
13297059961
14172288c00
15d0bc5276
hex84ed6330

2230149936 has 120 divisors (see below), whose sum is σ = 6857995584. Its totient is φ = 622339200.

The previous prime is 2230149917. The next prime is 2230149983. The reversal of 2230149936 is 6399410322.

It is a junction number, because it is equal to n+sod(n) for n = 2230149894 and 2230149903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90111 + ... + 112161.

Almost surely, 22230149936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230149936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428997792).

2230149936 is an abundant number, since it is smaller than the sum of its proper divisors (4627845648).

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

2230149936 is a wasteful number, since it uses less digits than its factorization.

2230149936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22119 (or 22106 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 2230149936 is about 47224.4633214608. The cubic root of 2230149936 is about 1306.5058362141.

The spelling of 2230149936 in words is "two billion, two hundred thirty million, one hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 129 147 168 172 196 258 294 301 336 344 392 516 588 602 688 784 903 1032 1176 1204 1806 2064 2107 2352 2408 3612 4214 4816 6321 7224 8428 12642 14448 16856 22051 25284 33712 44102 50568 66153 88204 101136 132306 154357 176408 264612 308714 352816 463071 529224 617428 926142 948193 1058448 1080499 1234856 1852284 1896386 2160998 2469712 2844579 3241497 3704568 3792772 4321996 5689158 6482994 6637351 7409136 7585544 8643992 11378316 12965988 13274702 15171088 17287984 19912053 22756632 25931976 26549404 39824106 45513264 46461457 51863952 53098808 79648212 92922914 106197616 139384371 159296424 185845828 278768742 318592848 371691656 557537484 743383312 1115074968 2230149936