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2252352570 = 2351322915319
BaseRepresentation
bin1000011001000000…
…0010110000111010
312210222012100212120
42012100002300322
514103100240240
61011255422110
7106546452366
oct20620026072
95728170776
102252352570
11a56437906
1252a384936
1329b831800
141751c82a6
15d2b0dad0
hex86402c3a

2252352570 has 96 divisors (see below), whose sum is σ = 6055689600. Its totient is φ = 535272192.

The previous prime is 2252352563. The next prime is 2252352577. The reversal of 2252352570 is 752532522.

It is an interprime number because it is at equal distance from previous prime (2252352563) and next prime (2252352577).

It is not an unprimeable number, because it can be changed into a prime (2252352577) 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 47 ways as a sum of consecutive naturals, for example, 139371 + ... + 154689.

It is an arithmetic number, because the mean of its divisors is an integer number (63080100).

Almost surely, 22252352570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252352570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027844800).

2252352570 is an abundant number, since it is smaller than the sum of its proper divisors (3803337030).

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

2252352570 is a wasteful number, since it uses less digits than its factorization.

2252352570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15384 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 2252352570 is about 47458.9566889117. The cubic root of 2252352570 is about 1310.8272400661.

The spelling of 2252352570 in words is "two billion, two hundred fifty-two million, three hundred fifty-two thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 169 174 195 290 338 377 390 435 507 754 845 870 1014 1131 1690 1885 2262 2535 3770 4901 5070 5655 9802 11310 14703 15319 24505 29406 30638 45957 49010 73515 76595 91914 147030 153190 199147 229785 398294 444251 459570 597441 888502 995735 1194882 1332753 1991470 2221255 2588911 2665506 2987205 4442510 5177822 5775263 5974410 6663765 7766733 11550526 12944555 13327530 15533466 17325789 25889110 28876315 34651578 38833665 57752630 75078419 77667330 86628945 150156838 173257890 225235257 375392095 450470514 750784190 1126176285 2252352570