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242021892 = 223761149317
BaseRepresentation
bin11100110110011…
…11011000000100
3121212101222121210
432123033120010
5443424200032
640003211420
75666103120
oct1633173004
9555358553
10242021892
111146846a2
1269076b70
133b1ab228
1424200580
15163aa2cc
hexe6cf604

242021892 has 96 divisors (see below), whose sum is σ = 662457600. Its totient is φ = 67345920.

The previous prime is 242021891. The next prime is 242021933. The reversal of 242021892 is 298120242.

242021892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242021891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763318 + ... + 763634.

It is an arithmetic number, because the mean of its divisors is an integer number (6900600).

Almost surely, 2242021892 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 242021892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331228800).

242021892 is an abundant number, since it is smaller than the sum of its proper divisors (420435708).

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

242021892 is a wasteful number, since it uses less digits than its factorization.

242021892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 242021892 is about 15557.0528057213. The cubic root of 242021892 is about 623.1867590455.

The spelling of 242021892 in words is "two hundred forty-two million, twenty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 149 183 244 298 317 366 427 447 596 634 732 854 894 951 1043 1268 1281 1708 1788 1902 2086 2219 2562 3129 3804 4172 4438 5124 6258 6657 8876 9089 12516 13314 18178 19337 26628 27267 36356 38674 47233 54534 58011 63623 77348 94466 109068 116022 127246 135359 141699 188932 190869 232044 254492 270718 283398 330631 381738 406077 541436 566796 661262 763476 812154 991893 1322524 1624308 1983786 2881213 3967572 5762426 8643639 11524852 17287278 20168491 34574556 40336982 60505473 80673964 121010946 242021892