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242212200 = 23352403687
BaseRepresentation
bin11100110111111…
…01110101101000
3121212202122200020
432123331311220
5444001242300
640011240440
76000525006
oct1633756550
9555678606
10242212200
111147a467a
1269149120
133b246a39
142424da76
15163e68a0
hexe6fdd68

242212200 has 48 divisors (see below), whose sum is σ = 750859680. Its totient is φ = 64589760.

The previous prime is 242212193. The next prime is 242212211. The reversal of 242212200 is 2212242.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 242212200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201244 + ... + 202443.

It is an arithmetic number, because the mean of its divisors is an integer number (15642910).

Almost surely, 2242212200 is an apocalyptic number.

242212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242212200 is an abundant number, since it is smaller than the sum of its proper divisors (508647480).

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

242212200 is a wasteful number, since it uses less digits than its factorization.

242212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403706 (or 403697 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 242212200 is about 15563.1680579502. The cubic root of 242212200 is about 623.3500588100.

Adding to 242212200 its reverse (2212242), we get a palindrome (244424442).

The spelling of 242212200 in words is "two hundred forty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 403687 807374 1211061 1614748 2018435 2422122 3229496 4036870 4844244 6055305 8073740 9688488 10092175 12110610 16147480 20184350 24221220 30276525 40368700 48442440 60553050 80737400 121106100 242212200