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2225709252 = 2234134711243
BaseRepresentation
bin1000010010101001…
…1010000011000100
312202010001202010000
42010222122003010
514024240144002
61004504401300
7106104134154
oct20452320304
95663052100
102225709252
11a4239a338
12521476230
13296163630
14171850764
15d05e961c
hex84a9a0c4

2225709252 has 120 divisors (see below), whose sum is σ = 6399904896. Its totient is φ = 670203072.

The previous prime is 2225709223. The next prime is 2225709319. The reversal of 2225709252 is 2529075222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 192343 + ... + 203585.

Almost surely, 22225709252 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 2225709252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199952448).

2225709252 is an abundant number, since it is smaller than the sum of its proper divisors (4174195644).

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

2225709252 is a wasteful number, since it uses less digits than its factorization.

2225709252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11319 (or 11308 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2225709252 is about 47177.4231174192. The cubic root of 2225709252 is about 1305.6380866849.

The spelling of 2225709252 in words is "two billion, two hundred twenty-five million, seven hundred nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 81 94 108 117 141 156 162 188 234 282 324 351 423 468 564 611 702 846 1053 1222 1269 1404 1692 1833 2106 2444 2538 3666 3807 4212 5076 5499 7332 7614 10998 11243 15228 16497 21996 22486 32994 33729 44972 49491 65988 67458 98982 101187 134916 146159 197964 202374 292318 303561 404748 438477 528421 584636 607122 876954 910683 1056842 1214244 1315431 1585263 1753908 1821366 2113684 2630862 3170526 3642732 3946293 4755789 5261724 6341052 6869473 7892586 9511578 11838879 13738946 14267367 15785172 19023156 20608419 23677758 27477892 28534734 41216838 42802101 47355516 57069468 61825257 82433676 85604202 123650514 171208404 185475771 247301028 370951542 556427313 741903084 1112854626 2225709252