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242220880 = 24511275251
BaseRepresentation
bin11100110111111…
…11111101010000
3121212210002120201
432123333331100
5444002032010
640011344544
76000562216
oct1633777520
9555702521
10242220880
11114800150
1269152154
133b24a985
1424252cb6
15163e923a
hexe6fff50

242220880 has 40 divisors (see below), whose sum is σ = 614362464. Its totient is φ = 88080000.

The previous prime is 242220841. The next prime is 242220893. The reversal of 242220880 is 88022242.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136746 + ... + 138505.

Almost surely, 2242220880 is an apocalyptic number.

242220880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242220880 is an abundant number, since it is smaller than the sum of its proper divisors (372141584).

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

242220880 is a wasteful number, since it uses less digits than its factorization.

242220880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275275 (or 275269 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 242220880 is about 15563.4469189830. The cubic root of 242220880 is about 623.3575049171.

It can be divided in two parts, 242 and 220880, that added together give a palindrome (221122).

The spelling of 242220880 in words is "two hundred forty-two million, two hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 275251 550502 1101004 1376255 2202008 2752510 3027761 4404016 5505020 6055522 11010040 12111044 15138805 22020080 24222088 30277610 48444176 60555220 121110440 242220880