Search a number
-
+
113972226984 = 233372116611481
BaseRepresentation
bin110101000100101000…
…1100010101110101000
3101220011220212000102000
41222021101202232220
53331403342230414
6124205204211000
711143223642100
oct1521121425650
9356156760360
10113972226984
1144376395030
121a109099a60
13a994446185
145732988200
152e70bd3b09
hex1a89462ba8

113972226984 has 384 divisors, whose sum is σ = 402636873600. Its totient is φ = 29538432000.

The previous prime is 113972226961. The next prime is 113972227003. The reversal of 113972226984 is 489622279311.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 113972226984.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76955524 + ... + 76957004.

It is an arithmetic number, because the mean of its divisors is an integer number (1048533525).

Almost surely, 2113972226984 is an apocalyptic number.

113972226984 is a gapful number since it is divisible by the number (14) 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 113972226984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201318436800).

113972226984 is an abundant number, since it is smaller than the sum of its proper divisors (288664646616).

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

113972226984 is a wasteful number, since it uses less digits than its factorization.

113972226984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2165 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 113972226984 in words is "one hundred thirteen billion, nine hundred seventy-two million, two hundred twenty-six thousand, nine hundred eighty-four".