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242509900 = 22523178229
BaseRepresentation
bin11100111010001…
…10100001001100
3121220022210001011
432131012201030
5444040304100
640021455004
76003204643
oct1635064114
9556283034
10242509900
11114988306
1269271464
133b31c3a9
14242ca35a
1516454bba
hexe74684c

242509900 has 36 divisors (see below), whose sum is σ = 543229120. Its totient is φ = 93873600.

The previous prime is 242509871. The next prime is 242509903. The reversal of 242509900 is 9905242.

242509900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2425099002 = 117622103196020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (242509903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36015 + ... + 42214.

Almost surely, 2242509900 is an apocalyptic number.

242509900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242509900 is an abundant number, since it is smaller than the sum of its proper divisors (300719220).

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

242509900 is a wasteful number, since it uses less digits than its factorization.

242509900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78274 (or 78267 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 242509900 is about 15572.7293689963. The cubic root of 242509900 is about 623.6053381843.

The spelling of 242509900 in words is "two hundred forty-two million, five hundred nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 78229 156458 312916 391145 782290 1564580 1955725 2425099 3911450 4850198 7822900 9700396 12125495 24250990 48501980 60627475 121254950 242509900