Search a number
-
+
106415622 = 23231190709
BaseRepresentation
bin1100101011111…
…00011000000110
321102020110210100
412111330120012
5204220244442
614320504530
72431342425
oct625743006
9242213710
10106415622
11550836a5
122b77b146
131907ba31
14101c12bc
15952084c
hex657c606

106415622 has 24 divisors (see below), whose sum is σ = 238006080. Its totient is φ = 34327440.

The previous prime is 106415611. The next prime is 106415627. The reversal of 106415622 is 226514601.

106415622 is a `hidden beast` number, since 10 + 641 + 5 + 6 + 2 + 2 = 666.

It is a super-2 number, since 2×1064156222 = 22648569211293768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106415627) 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, 94797 + ... + 95912.

It is an arithmetic number, because the mean of its divisors is an integer number (9916920).

Almost surely, 2106415622 is an apocalyptic number.

106415622 is an abundant number, since it is smaller than the sum of its proper divisors (131590458).

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

106415622 is a wasteful number, since it uses less digits than its factorization.

106415622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190748 (or 190745 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106415622 is about 10315.7947827591. The cubic root of 106415622 is about 473.8800903757.

It can be divided in two parts, 1064156 and 22, that multiplied together give a palindrome (23411432).

The spelling of 106415622 in words is "one hundred six million, four hundred fifteen thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 190709 381418 572127 1144254 1716381 3432762 5911979 11823958 17735937 35471874 53207811 106415622