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90224244242209 = 71115711993374239
BaseRepresentation
bin10100100000111011111000…
…000001110011011100100001
3102211110100112201012001222101
4110200323320001303130201
543311213223011222314
6515520240130010401
725001325611213560
oct2440737001633441
9384410481161871
1090224244242209
1126825983808370
12a152090a16a01
133b461570b094c
14183cc3ba1bbd7
15a66e1648a174
hex520ef8073721

90224244242209 has 32 divisors (see below), whose sum is σ = 112615749918720. Its totient is φ = 70224413443200.

The previous prime is 90224244242207. The next prime is 90224244242227.

90224244242209 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 90224244242209 - 21 = 90224244242207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90224244242203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240900112 + ... + 241274350.

It is an arithmetic number, because the mean of its divisors is an integer number (3519242184960).

Almost surely, 290224244242209 is an apocalyptic number.

It is an amenable number.

90224244242209 is a deficient number, since it is larger than the sum of its proper divisors (22391505676511).

90224244242209 is a wasteful number, since it uses less digits than its factorization.

90224244242209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377821.

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 90224244242209 in words is "ninety trillion, two hundred twenty-four billion, two hundred forty-four million, two hundred forty-two thousand, two hundred nine".

Divisors: 1 7 11 77 1571 1993 10997 13951 17281 21923 120967 153461 374239 2619673 3131003 4116629 21917021 28816403 34441033 241087231 587929469 745858327 4115506283 5221008289 6467224159 8204441597 45270569113 57431091179 1171743431717 8202204022019 12889177748887 90224244242209