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242212230 = 232513241859
BaseRepresentation
bin11100110111111…
…01110110000110
3121212202122201100
432123331312012
5444001242410
640011240530
76000525051
oct1633756606
9555678640
10242212230
111147a46a7
1269149146
133b246a60
142424da98
15163e68c0
hexe6fdd86

242212230 has 96 divisors (see below), whose sum is σ = 681801120. Its totient is φ = 59304960.

The previous prime is 242212219. The next prime is 242212261. The reversal of 242212230 is 32212242.

242212230 is a `hidden beast` number, since 2 + 422 + 12 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 281541 + ... + 282399.

It is an arithmetic number, because the mean of its divisors is an integer number (7102095).

Almost surely, 2242212230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242212230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340900560).

242212230 is an abundant number, since it is smaller than the sum of its proper divisors (439588890).

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

242212230 is a wasteful number, since it uses less digits than its factorization.

242212230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242212230 is about 15563.1690217642. The cubic root of 242212230 is about 623.3500845457.

Adding to 242212230 its reverse (32212242), we get a palindrome (274424472).

The spelling of 242212230 in words is "two hundred forty-two million, two hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 241 390 482 585 723 859 1170 1205 1446 1718 2169 2410 2577 3133 3615 4295 4338 5154 6266 7230 7731 8590 9399 10845 11167 12885 15462 15665 18798 21690 22334 25770 28197 31330 33501 38655 46995 55835 56394 67002 77310 93990 100503 111670 140985 167505 201006 207019 281970 335010 414038 502515 621057 1005030 1035095 1242114 1863171 2070190 2691247 3105285 3726342 5382494 6210570 8073741 9315855 13456235 16147482 18631710 24221223 26912470 40368705 48442446 80737410 121106115 242212230