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122364045 = 325172972
BaseRepresentation
bin1110100101100…
…10000010001101
322112020201220200
413102302002031
5222311122140
620050404113
73014035326
oct722620215
9275221820
10122364045
1163086a11
1234b90639
131c473c7b
141237344d
15ab21030
hex74b208d

122364045 has 54 divisors (see below), whose sum is σ = 227654622. Its totient is φ = 60788736.

The previous prime is 122364041. The next prime is 122364059. The reversal of 122364045 is 540463221.

122364045 is a `hidden beast` number, since 12 + 2 + 3 + 640 + 4 + 5 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 5788836 + 116575209 = 2406^2 + 10797^2 .

It is not a de Polignac number, because 122364045 - 22 = 122364041 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122364041) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1261437 + ... + 1261533.

Almost surely, 2122364045 is an apocalyptic number.

122364045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122364045 is a deficient number, since it is larger than the sum of its proper divisors (105290577).

122364045 is an equidigital number, since it uses as much as digits as its factorization.

122364045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 122364045 is about 11061.8282846915. The cubic root of 122364045 is about 496.4603948535.

The spelling of 122364045 in words is "one hundred twenty-two million, three hundred sixty-four thousand, forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 97 153 255 289 291 485 765 867 873 1445 1455 1649 2601 4335 4365 4947 8245 9409 13005 14841 24735 28033 28227 47045 74205 84099 84681 140165 141135 159953 252297 420495 423405 479859 799765 1261485 1439577 2399295 2719201 7197885 8157603 13596005 24472809 40788015 122364045