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242055630 = 232519353401
BaseRepresentation
bin11100110110101…
…11100111001110
3121212110200220100
432123113213032
5443431240010
640004031530
75666303355
oct1633274716
9555420810
10242055630
111146a7a83
12690925a6
133b1c06ab
142420c99c
15163b52c0
hexe6d79ce

242055630 has 96 divisors (see below), whose sum is σ = 666001440. Its totient is φ = 60825600.

The previous prime is 242055623. The next prime is 242055661. The reversal of 242055630 is 36550242.

242055630 is a `hidden beast` number, since 2 + 4 + 20 + 5 + 5 + 630 = 666.

242055630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242055594 and 242055603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603430 + ... + 603830.

It is an arithmetic number, because the mean of its divisors is an integer number (6937515).

Almost surely, 2242055630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242055630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333000720).

242055630 is an abundant number, since it is smaller than the sum of its proper divisors (423945810).

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

242055630 is a wasteful number, since it uses less digits than its factorization.

242055630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 242055630 is about 15558.1370992802. The cubic root of 242055630 is about 623.2157152387.

The spelling of 242055630 in words is "two hundred forty-two million, fifty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 353 401 570 706 802 855 1059 1203 1710 1765 2005 2118 2406 3177 3530 3609 4010 5295 6015 6354 6707 7218 7619 10590 12030 13414 15238 15885 18045 20121 22857 31770 33535 36090 38095 40242 45714 60363 67070 68571 76190 100605 114285 120726 137142 141553 201210 228570 283106 301815 342855 424659 603630 685710 707765 849318 1273977 1415530 2123295 2547954 2689507 4246590 5379014 6369885 8068521 12739770 13447535 16137042 24205563 26895070 40342605 48411126 80685210 121027815 242055630