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242233810 = 257132967137
BaseRepresentation
bin11100111000000…
…11000111010010
3121212210202022121
432130003013102
5444002440220
640011524454
76000645010
oct1634030722
9555722277
10242233810
11114809935
126915972a
133b253820
14242578b0
15163eceaa
hexe7031d2

242233810 has 128 divisors (see below), whose sum is σ = 567544320. Its totient is φ = 72382464.

The previous prime is 242233807. The next prime is 242233813. The reversal of 242233810 is 18332242.

It is an interprime number because it is at equal distance from previous prime (242233807) and next prime (242233813).

It is a super-2 number, since 2×2422338102 = 117354437414232200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242233813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1768062 + ... + 1768198.

It is an arithmetic number, because the mean of its divisors is an integer number (4433940).

Almost surely, 2242233810 is an apocalyptic number.

242233810 is an abundant number, since it is smaller than the sum of its proper divisors (325310510).

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

242233810 is a wasteful number, since it uses less digits than its factorization.

242233810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260.

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 242233810 is about 15563.8623098510. The cubic root of 242233810 is about 623.3685965415.

The spelling of 242233810 in words is "two hundred forty-two million, two hundred thirty-three thousand, eight hundred ten".

Divisors: 1 2 5 7 10 13 14 26 29 35 58 65 67 70 91 130 134 137 145 182 203 274 290 335 377 406 455 469 670 685 754 871 910 938 959 1015 1370 1742 1781 1885 1918 1943 2030 2345 2639 3562 3770 3886 3973 4355 4690 4795 5278 6097 7946 8710 8905 9179 9590 9715 12194 12467 13195 13601 17810 18358 19430 19865 24934 25259 26390 27202 27811 30485 39730 45895 50518 51649 55622 60970 62335 64253 68005 91790 103298 119327 124670 126295 128506 136010 139055 176813 238654 252590 258245 266191 278110 321265 353626 361543 516490 532382 596635 642530 723086 835289 884065 1193270 1330955 1670578 1768130 1807715 1863337 2661910 3460483 3615430 3726674 4176445 6920966 8352890 9316685 17302415 18633370 24223381 34604830 48446762 121116905 242233810