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245570112 = 2632472193
BaseRepresentation
bin11101010001100…
…01101001000000
3122010002020212100
432220301221000
51000331220422
640211230400
76041211564
oct1650615100
9563066770
10245570112
11116688507
126a2a8400
133bb51278
14248856a4
151685b7ac
hexea31a40

245570112 has 126 divisors (see below), whose sum is σ = 722903558. Its totient is φ = 79699968.

The previous prime is 245570099. The next prime is 245570113. The reversal of 245570112 is 211075542.

It can be written as a sum of positive squares in only one way, i.e., 183223296 + 62346816 = 13536^2 + 7896^2 .

It is not an unprimeable number, because it can be changed into a prime (245570113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1272288 + ... + 1272480.

Almost surely, 2245570112 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 245570112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361451779).

245570112 is an abundant number, since it is smaller than the sum of its proper divisors (477333446).

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

245570112 is a wasteful number, since it uses less digits than its factorization.

245570112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 245570112 is about 15670.6768200994. The cubic root of 245570112 is about 626.2174558488.

The spelling of 245570112 in words is "two hundred forty-five million, five hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 193 282 288 376 386 423 564 576 579 752 772 846 1128 1158 1504 1544 1692 1737 2209 2256 2316 3008 3088 3384 3474 4418 4512 4632 6176 6627 6768 6948 8836 9024 9071 9264 12352 13254 13536 13896 17672 18142 18528 19881 26508 27072 27213 27792 35344 36284 37056 39762 53016 54426 55584 70688 72568 79524 81639 106032 108852 111168 141376 145136 159048 163278 212064 217704 290272 318096 326556 424128 426337 435408 580544 636192 653112 852674 870816 1272384 1279011 1306224 1705348 1741632 2558022 2612448 3410696 3837033 5116044 5224896 6821392 7674066 10232088 13642784 15348132 20464176 27285568 30696264 40928352 61392528 81856704 122785056 245570112