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242203080 = 233572172423
BaseRepresentation
bin11100110111110…
…11100111001000
3121212202012011110
432123323213020
5444000444310
640011130320
76000456300
oct1633734710
9555665143
10242203080
11114798839
12691439a0
133b242842
142424a600
15163e3d20
hexe6fb9c8

242203080 has 192 divisors, whose sum is σ = 895328640. Its totient is φ = 52082688.

The previous prime is 242203037. The next prime is 242203103. The reversal of 242203080 is 80302242.

It is a super-2 number, since 2×2422030802 = 117324663922972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 98749 + ... + 101171.

It is an arithmetic number, because the mean of its divisors is an integer number (4663170).

Almost surely, 2242203080 is an apocalyptic number.

242203080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242203080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447664320).

242203080 is an abundant number, since it is smaller than the sum of its proper divisors (653125560).

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

242203080 is a wasteful number, since it uses less digits than its factorization.

242203080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 242203080 is about 15562.8750557215. The cubic root of 242203080 is about 623.3422350590.

The spelling of 242203080 in words is "two hundred forty-two million, two hundred three thousand, eighty".