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242196984 = 23324378229
BaseRepresentation
bin11100110111110…
…10000111111000
3121212201212210200
432123322013320
5444000300414
640011042200
76000432441
oct1633720770
9555655720
10242196984
111147941a7
1269140360
133b23cb33
14242482c8
15163e2109
hexe6fa1f8

242196984 has 48 divisors (see below), whose sum is σ = 671213400. Its totient is φ = 78853824.

The previous prime is 242196979. The next prime is 242197013. The reversal of 242196984 is 489691242.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36019 + ... + 42210.

Almost surely, 2242196984 is an apocalyptic number.

242196984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242196984 is an abundant number, since it is smaller than the sum of its proper divisors (429016416).

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

242196984 is a wasteful number, since it uses less digits than its factorization.

242196984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78284 (or 78277 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 242196984 is about 15562.6792037875. The cubic root of 242196984 is about 623.3370053895.

The spelling of 242196984 in words is "two hundred forty-two million, one hundred ninety-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 78229 156458 234687 312916 469374 625832 704061 938748 1408122 1877496 2816244 3363847 5632488 6727694 10091541 13455388 20183082 26910776 30274623 40366164 60549246 80732328 121098492 242196984