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242223960 = 233511183503
BaseRepresentation
bin11100111000000…
…00101101011000
3121212210020210210
432130000231120
5444002131320
640011411120
76000604206
oct1634005530
9555706723
10242223960
111148024a0
1269153aa0
133b24c1b4
1424254076
15163ea0e0
hexe700b58

242223960 has 64 divisors (see below), whose sum is σ = 792737280. Its totient is φ = 58720640.

The previous prime is 242223959. The next prime is 242224013. The reversal of 242223960 is 69322242.

242223960 = 1822 + 1832 + ... + 9012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90432 + ... + 93071.

It is an arithmetic number, because the mean of its divisors is an integer number (12386520).

Almost surely, 2242223960 is an apocalyptic number.

242223960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242223960 is an abundant number, since it is smaller than the sum of its proper divisors (550513320).

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

242223960 is a wasteful number, since it uses less digits than its factorization.

242223960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183528 (or 183524 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 242223960 is about 15563.5458684710. The cubic root of 242223960 is about 623.3601470413.

It can be divided in two parts, 24222 and 3960, that added together give a palindrome (28182).

The spelling of 242223960 in words is "two hundred forty-two million, two hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 183503 367006 550509 734012 917515 1101018 1468024 1835030 2018533 2202036 2752545 3670060 4037066 4404072 5505090 6055599 7340120 8074132 10092665 11010180 12111198 16148264 20185330 22020360 24222396 30277995 40370660 48444792 60555990 80741320 121111980 242223960