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242551300 = 225215116063
BaseRepresentation
bin11100111010100…
…00101000000100
3121220101212211111
432131100220010
5444043120200
640022414404
76003436435
oct1635205004
9556355744
10242551300
11114a06422
1269291404
133b3351a4
14242db48c
15164620ba
hexe750a04

242551300 has 36 divisors (see below), whose sum is σ = 529854976. Its totient is φ = 96372000.

The previous prime is 242551279. The next prime is 242551303. The reversal of 242551300 is 3155242.

It is a super-2 number, since 2×2425513002 = 117662266263380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242551303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7069 + ... + 23131.

Almost surely, 2242551300 is an apocalyptic number.

242551300 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 242551300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264927488).

242551300 is an abundant number, since it is smaller than the sum of its proper divisors (287303676).

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

242551300 is a wasteful number, since it uses less digits than its factorization.

242551300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16228 (or 16221 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 242551300 is about 15574.0585590269. The cubic root of 242551300 is about 623.6408223605.

The spelling of 242551300 in words is "two hundred forty-two million, five hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1510 3020 3775 7550 15100 16063 32126 64252 80315 160630 321260 401575 803150 1606300 2425513 4851026 9702052 12127565 24255130 48510260 60637825 121275650 242551300