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122254464 = 273536007
BaseRepresentation
bin1110100100101…
…11010010000000
322112001011121010
413102113102000
5222244120324
620044200520
73013101003
oct722272200
9275034533
10122254464
1163011652
1234b39140
131c436127
141234553a
15aaed829
hex7497480

122254464 has 64 divisors (see below), whose sum is σ = 330920640. Its totient is φ = 39975936.

The previous prime is 122254441. The next prime is 122254469. The reversal of 122254464 is 464452221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122254469) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17349 + ... + 23355.

It is an arithmetic number, because the mean of its divisors is an integer number (5170635).

Almost surely, 2122254464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165460320).

122254464 is an abundant number, since it is smaller than the sum of its proper divisors (208666176).

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

122254464 is an equidigital number, since it uses as much as digits as its factorization.

122254464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077 (or 6065 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 122254464 is about 11056.8740609632. The cubic root of 122254464 is about 496.3121517581.

The spelling of 122254464 in words is "one hundred twenty-two million, two hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6007 6784 10176 12014 18021 20352 24028 36042 48056 72084 96112 144168 192224 288336 318371 384448 576672 636742 768896 955113 1153344 1273484 1910226 2306688 2546968 3820452 5093936 7640904 10187872 15281808 20375744 30563616 40751488 61127232 122254464