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222221088 = 25325211481
BaseRepresentation
bin11010011111011…
…01001100100000
3120111011000000200
431033231030200
5423342033323
634014545200
75335563615
oct1517551440
9514130020
10222221088
1110448aaa1
1262508200
133706768b
142172850c
1514798443
hexd3ed320

222221088 has 72 divisors (see below), whose sum is σ = 633581676. Its totient is φ = 73881600.

The previous prime is 222221071. The next prime is 222221137. The reversal of 222221088 is 880122222.

222221088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 217503504 + 4717584 = 14748^2 + 2172^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149308 + ... + 150788.

Almost surely, 2222221088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222221088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316790838).

222221088 is an abundant number, since it is smaller than the sum of its proper divisors (411360588).

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

222221088 is a wasteful number, since it uses less digits than its factorization.

222221088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 222221088 is about 14907.0818069802. The cubic root of 222221088 is about 605.7058337663.

The spelling of 222221088 in words is "two hundred twenty-two million, two hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 521 1042 1481 1563 2084 2962 3126 4168 4443 4689 5924 6252 8336 8886 9378 11848 12504 13329 16672 17772 18756 23696 25008 26658 35544 37512 47392 50016 53316 71088 75024 106632 142176 150048 213264 426528 771601 1543202 2314803 3086404 4629606 6172808 6944409 9259212 12345616 13888818 18518424 24691232 27777636 37036848 55555272 74073696 111110544 222221088