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920223972 = 223225561777
BaseRepresentation
bin110110110110011…
…000000011100100
32101010120012222100
4312312120003210
53341034131342
6231151332100
731542526503
oct6666300344
92333505870
10920223972
11432495988
12218221030
13118857a35
148a30283a
1555bc3e4c
hex36d980e4

920223972 has 18 divisors (see below), whose sum is σ = 2326121798. Its totient is φ = 306741312.

The previous prime is 920223949. The next prime is 920223977. The reversal of 920223972 is 279322029.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 721244736 + 198979236 = 26856^2 + 14106^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 25561777 = 920223972 / (9 + 2 + 0 + 2 + 2 + 3 + 9 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (920223977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12780853 + ... + 12780924.

Almost surely, 2920223972 is an apocalyptic number.

It is an amenable number.

920223972 is an abundant number, since it is smaller than the sum of its proper divisors (1405897826).

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

920223972 is a wasteful number, since it uses less digits than its factorization.

920223972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25561787 (or 25561782 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 920223972 is about 30335.1936206117. The cubic root of 920223972 is about 972.6677446935.

The spelling of 920223972 in words is "nine hundred twenty million, two hundred twenty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 25561777 51123554 76685331 102247108 153370662 230055993 306741324 460111986 920223972