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122294286436 = 2272249792
BaseRepresentation
bin111000111100101001…
…1101011100001100100
3102200122220021102211011
41301321103223201210
54000424314131221
6132103050552004
711556365166100
oct1617123534144
9380586242734
10122294286436
1147956a33513
121b850138604
13b6bc60b9ca
145cc1d28900
1532ab5e91e1
hex1c794eb864

122294286436 has 27 divisors (see below), whose sum is σ = 248966192979. Its totient is φ = 52409738808.

The previous prime is 122294286431. The next prime is 122294286449. The reversal of 122294286436 is 634682492221.

The square root of 122294286436 is 349706.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 122294286436.

It is not an unprimeable number, because it can be changed into a prime (122294286431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4883395 + ... + 4908373.

Almost surely, 2122294286436 is an apocalyptic number.

122294286436 is the 349706-th square number.

It is an amenable number.

122294286436 is an abundant number, since it is smaller than the sum of its proper divisors (126671906543).

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

122294286436 is an frugal number, since it uses more digits than its factorization.

122294286436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49976 (or 24988 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 49.

Multiplying 122294286436 by its sum of digits (49), we get a square (5992420035364 = 24479422).

122294286436 divided by its sum of digits (49) gives a square (2495801764 = 499582).

The spelling of 122294286436 in words is "one hundred twenty-two billion, two hundred ninety-four million, two hundred eighty-six thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 24979 49958 99916 174853 349706 699412 1223971 2447942 4895884 623950441 1247900882 2495801764 4367653087 8735306174 17470612348 30573571609 61147143218 122294286436