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242667900 = 22345229959
BaseRepresentation
bin11100111011011…
…01000101111100
3121220121210210000
432131231011330
5444110333100
640025114300
76004433406
oct1635550574
9556553700
10242667900
11114a85a92
1269328990
133b376297
142432bb76
1516486900
hexe76d17c

242667900 has 90 divisors (see below), whose sum is σ = 786659720. Its totient is φ = 64709280.

The previous prime is 242667883. The next prime is 242667913. The reversal of 242667900 is 9766242.

It is a happy number.

242667900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6880 + ... + 23079.

Almost surely, 2242667900 is an apocalyptic number.

242667900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242667900 is an abundant number, since it is smaller than the sum of its proper divisors (543991820).

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

242667900 is a wasteful number, since it uses less digits than its factorization.

242667900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29985 (or 29969 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 242667900 is about 15577.8015136925. The cubic root of 242667900 is about 623.7407391902.

The spelling of 242667900 in words is "two hundred forty-two million, six hundred sixty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 29959 59918 89877 119836 149795 179754 269631 299590 359508 449385 539262 599180 748975 808893 898770 1078524 1348155 1497950 1617786 1797540 2246925 2426679 2696310 2995900 3235572 4044465 4493850 4853358 5392620 6740775 8088930 8987700 9706716 12133395 13481550 16177860 20222325 24266790 26963100 40444650 48533580 60666975 80889300 121333950 242667900