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222492090 = 235171922961
BaseRepresentation
bin11010100001011…
…11010110111010
3120111122202202210
431100233112322
5423424221330
634024435550
75341102662
oct1520572672
9514582683
10222492090
11104655667
1262618bb6
1337130b32
14217991a2
15147ed8b0
hexd42f5ba

222492090 has 64 divisors (see below), whose sum is σ = 595175040. Its totient is φ = 52899840.

The previous prime is 222492077. The next prime is 222492091. The reversal of 222492090 is 90294222.

It is a super-2 number, since 2×2224920902 = 99005460225136200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (222492091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1791 + ... + 21170.

It is an arithmetic number, because the mean of its divisors is an integer number (9299610).

Almost surely, 2222492090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222492090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297587520).

222492090 is an abundant number, since it is smaller than the sum of its proper divisors (372682950).

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

222492090 is a wasteful number, since it uses less digits than its factorization.

222492090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23007.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 222492090 is about 14916.1687440173. The cubic root of 222492090 is about 605.9519562387.

The spelling of 222492090 in words is "two hundred twenty-two million, four hundred ninety-two thousand, ninety".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1615 1938 3230 4845 9690 22961 45922 68883 114805 137766 229610 344415 390337 436259 688830 780674 872518 1171011 1308777 1951685 2181295 2342022 2617554 3903370 4362590 5855055 6543885 7416403 11710110 13087770 14832806 22249209 37082015 44498418 74164030 111246045 222492090