Search a number
-
+
107222967 = 3317412281
BaseRepresentation
bin1100110010000…
…01011110110111
321110202111021000
412121001132313
5204422113332
614350054343
72441244255
oct631013667
9243674230
10107222967
1155585225
122baaa3b3
13192a2357
14103515d5
15962eb7c
hex66417b7

107222967 has 16 divisors (see below), whose sum is σ = 159009760. Its totient is φ = 71409600.

The previous prime is 107222939. The next prime is 107222971. The reversal of 107222967 is 769222701.

It is not a de Polignac number, because 107222967 - 215 = 107190199 is a prime.

It is a super-2 number, since 2×1072229672 = 22993529304566178, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107222977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45867 + ... + 48147.

It is an arithmetic number, because the mean of its divisors is an integer number (9938110).

Almost surely, 2107222967 is an apocalyptic number.

107222967 is a deficient number, since it is larger than the sum of its proper divisors (51786793).

107222967 is a wasteful number, since it uses less digits than its factorization.

107222967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 107222967 is about 10354.8523408110. The cubic root of 107222967 is about 475.0754701874.

It can be divided in two parts, 10722 and 2967, that added together give a square (13689 = 1172).

The spelling of 107222967 in words is "one hundred seven million, two hundred twenty-two thousand, nine hundred sixty-seven".

Divisors: 1 3 9 27 1741 2281 5223 6843 15669 20529 47007 61587 3971221 11913663 35740989 107222967