Search a number
-
+
107223161892 = 223711238389683
BaseRepresentation
bin110001111011011111…
…1111001110000100100
3101020202120021222121020
41203312333321300210
53224043112140032
6121131352251140
710514042560350
oct1436677716044
9336676258536
10107223161892
1141522752590
12189449a0ab0
13a15a11c332
1452924ac460
152bc8435b2c
hex18f6ff9c24

107223161892 has 384 divisors, whose sum is σ = 333594132480. Its totient is φ = 25984527360.

The previous prime is 107223161839. The next prime is 107223161917. The reversal of 107223161892 is 298161322701.

It is a super-2 number, since 2×1072231618922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156988183 + ... + 156988865.

It is an arithmetic number, because the mean of its divisors is an integer number (868734720).

Almost surely, 2107223161892 is an apocalyptic number.

107223161892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107223161892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166797066240).

107223161892 is an abundant number, since it is smaller than the sum of its proper divisors (226370970588).

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

107223161892 is a wasteful number, since it uses less digits than its factorization.

107223161892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 107223161892 in words is "one hundred seven billion, two hundred twenty-three million, one hundred sixty-one thousand, eight hundred ninety-two".