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222131920 = 2452776649
BaseRepresentation
bin11010011110101…
…11011011010000
3120110222110201011
431033113123100
5423331210140
634013020304
75335042633
oct1517273320
9513873634
10222131920
11104429aaa
1262484694
1337035c0a
1421703c1a
151477bcea
hexd3d76d0

222131920 has 20 divisors (see below), whose sum is σ = 516456900. Its totient is φ = 88852736.

The previous prime is 222131887. The next prime is 222131947. The reversal of 222131920 is 29131222.

It can be written as a sum of positive squares in 2 ways, for example, as 80712256 + 141419664 = 8984^2 + 11892^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 222131891 and 222131900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1388245 + ... + 1388404.

It is an arithmetic number, because the mean of its divisors is an integer number (25822845).

Almost surely, 2222131920 is an apocalyptic number.

222131920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222131920 is an abundant number, since it is smaller than the sum of its proper divisors (294324980).

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

222131920 is a wasteful number, since it uses less digits than its factorization.

222131920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776662 (or 2776656 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 222131920 is about 14904.0907136262. The cubic root of 222131920 is about 605.6248081478.

The spelling of 222131920 in words is "two hundred twenty-two million, one hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2776649 5553298 11106596 13883245 22213192 27766490 44426384 55532980 111065960 222131920