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242230040 = 235132916063
BaseRepresentation
bin11100111000000…
…10001100011000
3121212210120010222
432130002030120
5444002330130
640011455212
76000631013
oct1634021430
9555716128
10242230040
11114807018
1269157508
133b251bb0
142425637a
15163ebce5
hexe702318

242230040 has 64 divisors (see below), whose sum is σ = 607219200. Its totient is φ = 86349312.

The previous prime is 242230039. The next prime is 242230067. The reversal of 242230040 is 40032242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7049 + ... + 23111.

It is an arithmetic number, because the mean of its divisors is an integer number (9487800).

Almost surely, 2242230040 is an apocalyptic number.

242230040 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 242230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303609600).

242230040 is an abundant number, since it is smaller than the sum of its proper divisors (364989160).

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

242230040 is a wasteful number, since it uses less digits than its factorization.

242230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16116 (or 16112 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 242230040 is about 15563.7411954838. The cubic root of 242230040 is about 623.3653625974.

Adding to 242230040 its reverse (40032242), we get a palindrome (282262282).

The spelling of 242230040 in words is "two hundred forty-two million, two hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 15080 16063 32126 64252 80315 128504 160630 208819 321260 417638 465827 642520 835276 931654 1044095 1670552 1863308 2088190 2329135 3726616 4176380 4658270 6055751 8352760 9316540 12111502 18633080 24223004 30278755 48446008 60557510 121115020 242230040