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242252325 = 3252734373
BaseRepresentation
bin11100111000001…
…11101000100101
3121212211200201100
432130013220211
5444004033300
640012150313
76001053000
oct1634075045
9555750640
10242252325
11114821837
1269168399
133b25c093
1424260537
1516403700
hexe707a25

242252325 has 144 divisors (see below), whose sum is σ = 524867200. Its totient is φ = 106686720.

The previous prime is 242252317. The next prime is 242252333. The reversal of 242252325 is 523252242.

242252325 is a `hidden beast` number, since 2 + 422 + 5 + 232 + 5 = 666.

242252325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242252317) and next prime (242252333).

It is not a de Polignac number, because 242252325 - 23 = 242252317 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3318489 + ... + 3318561.

Almost surely, 2242252325 is an apocalyptic number.

242252325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242252325 is an abundant number, since it is smaller than the sum of its proper divisors (282614875).

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

242252325 is a wasteful number, since it uses less digits than its factorization.

242252325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 242252325 is about 15564.4571058550. The cubic root of 242252325 is about 623.3844784086.

The spelling of 242252325 in words is "two hundred forty-two million, two hundred fifty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 43 45 49 63 73 75 105 129 147 175 215 219 225 245 301 315 343 365 387 441 511 525 645 657 735 903 1029 1075 1095 1225 1505 1533 1575 1715 1825 1935 2107 2205 2555 2709 3087 3139 3225 3285 3577 3675 4515 4599 5145 5475 6321 7525 7665 8575 9417 9675 10535 10731 11025 12775 13545 14749 15435 15695 16425 17885 18963 21973 22575 22995 25039 25725 28251 31605 32193 38325 44247 47085 52675 53655 65919 67725 73745 75117 77175 78475 89425 94815 109865 114975 125195 132741 141255 153811 158025 160965 197757 221235 225351 235425 268275 329595 368725 375585 461433 474075 549325 625975 663705 706275 769055 804825 988785 1076677 1106175 1126755 1384299 1647975 1877925 2307165 3230031 3318525 3845275 4943925 5383385 5633775 6921495 9690093 11535825 16150155 26916925 34607475 48450465 80750775 242252325