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242202233880 = 23325672783983
BaseRepresentation
bin1110000110010001100…
…0001100110000011000
3212011011111020021221200
43201210120030300120
512432012232441010
6303133254234200
723332666006515
oct3414430146030
9764144207850
10242202233880
1193798935142
123ab35055960
1319abb705ab9
14ba18d4c30c
156478469cc0
hex386460cc18

242202233880 has 48 divisors (see below), whose sum is σ = 787157261280. Its totient is φ = 64587262272.

The previous prime is 242202233879. The next prime is 242202233881. The reversal of 242202233880 is 88332202242.

242202233880 is a `hidden beast` number, since 2 + 4 + 220 + 22 + 338 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (242202233879) and next prime (242202233881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242202233881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336391632 + ... + 336392351.

It is an arithmetic number, because the mean of its divisors is an integer number (16399109610).

Almost surely, 2242202233880 is an apocalyptic number.

242202233880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242202233880 is an abundant number, since it is smaller than the sum of its proper divisors (544955027400).

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

242202233880 is a wasteful number, since it uses less digits than its factorization.

242202233880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672784000 (or 672783993 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 242202233880 in words is "two hundred forty-two billion, two hundred two million, two hundred thirty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 672783983 1345567966 2018351949 2691135932 3363919915 4036703898 5382271864 6055055847 6727839830 8073407796 10091759745 12110111694 13455679660 16146815592 20183519490 24220223388 26911359320 30275279235 40367038980 48440446776 60550558470 80734077960 121101116940 242202233880