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122290410 = 23511675531
BaseRepresentation
bin1110100101000…
…00000011101010
322112002222220110
413102200003222
5222301243120
620045035150
73013310544
oct722400352
9275088813
10122290410
1163036660
1234b55ab6
131c4495b8
1412354694
15ab092e0
hex74a00ea

122290410 has 64 divisors (see below), whose sum is σ = 325016064. Its totient is φ = 29198400.

The previous prime is 122290387. The next prime is 122290489. The reversal of 122290410 is 14092221.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19345 + ... + 24875.

It is an arithmetic number, because the mean of its divisors is an integer number (5078376).

Almost surely, 2122290410 is an apocalyptic number.

122290410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122290410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162508032).

122290410 is an abundant number, since it is smaller than the sum of its proper divisors (202725654).

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

122290410 is a wasteful number, since it uses less digits than its factorization.

122290410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 122290410 is about 11058.4994461274. The cubic root of 122290410 is about 496.3607898958.

The spelling of 122290410 in words is "one hundred twenty-two million, two hundred ninety thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 670 737 1005 1474 2010 2211 3685 4422 5531 7370 11055 11062 16593 22110 27655 33186 55310 60841 82965 121682 165930 182523 304205 365046 370577 608410 741154 912615 1111731 1825230 1852885 2223462 3705770 4076347 5558655 8152694 11117310 12229041 20381735 24458082 40763470 61145205 122290410