Search a number
-
+
122466636 = 223210731793
BaseRepresentation
bin1110100110010…
…11000101001100
322112102221122100
413103023011030
5222322413021
620052515100
73014643405
oct723130514
9275387570
10122466636
1163146aa6
123501ba90
131c4ab886
141239c9ac
15ab41626
hex74cb14c

122466636 has 36 divisors (see below), whose sum is σ = 312471432. Its totient is φ = 40439424.

The previous prime is 122466613. The next prime is 122466637. The reversal of 122466636 is 636664221.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122466636.

It is not an unprimeable number, because it can be changed into a prime (122466637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12045 + ... + 19748.

It is an arithmetic number, because the mean of its divisors is an integer number (8679762).

Almost surely, 2122466636 is an apocalyptic number.

It is an amenable number.

122466636 is an abundant number, since it is smaller than the sum of its proper divisors (190004796).

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

122466636 is a wasteful number, since it uses less digits than its factorization.

122466636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31910 (or 31905 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 122466636 is about 11066.4644760646. The cubic root of 122466636 is about 496.5991015598.

The spelling of 122466636 in words is "one hundred twenty-two million, four hundred sixty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 31793 63586 95379 127172 190758 286137 381516 572274 1144548 3401851 6803702 10205553 13607404 20411106 30616659 40822212 61233318 122466636