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242290090 = 25719672719
BaseRepresentation
bin11100111000100…
…00110110101010
3121212220121112001
432130100312222
5444011240330
640013041214
76001301050
oct1634206652
9555817461
10242290090
11114848149
126918620a
133b273323
14242701d0
151640e9ca
hexe710daa

242290090 has 64 divisors (see below), whose sum is σ = 532684800. Its totient is φ = 77495616.

The previous prime is 242290067. The next prime is 242290121. The reversal of 242290090 is 90092242.

It is a happy number.

242290090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87751 + ... + 90469.

It is an arithmetic number, because the mean of its divisors is an integer number (8323200).

Almost surely, 2242290090 is an apocalyptic number.

242290090 is an abundant number, since it is smaller than the sum of its proper divisors (290394710).

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

242290090 is a wasteful number, since it uses less digits than its factorization.

242290090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 242290090 is about 15565.6702393440. The cubic root of 242290090 is about 623.4168701054.

The spelling of 242290090 in words is "two hundred forty-two million, two hundred ninety thousand, ninety".

Divisors: 1 2 5 7 10 14 19 35 38 67 70 95 133 134 190 266 335 469 665 670 938 1273 1330 2345 2546 2719 4690 5438 6365 8911 12730 13595 17822 19033 27190 38066 44555 51661 89110 95165 103322 182173 190330 258305 361627 364346 516610 723254 910865 1275211 1808135 1821730 2550422 3461287 3616270 6376055 6922574 12752110 17306435 24229009 34612870 48458018 121145045 242290090