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222245088 = 25313374813
BaseRepresentation
bin11010011111100…
…11000011100000
3120111012012221120
431033303003200
5423343320323
634015252240
75336023602
oct1517630340
9514165846
10222245088
111044a702a
126251a080
1337075590
1421733172
15147a05e3
hexd3f30e0

222245088 has 96 divisors (see below), whose sum is σ = 645384096. Its totient is φ = 66521088.

The previous prime is 222245083. The next prime is 222245129. The reversal of 222245088 is 880542222.

222245088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222245083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43770 + ... + 48582.

It is an arithmetic number, because the mean of its divisors is an integer number (6722751).

Almost surely, 2222245088 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 222245088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322692048).

222245088 is an abundant number, since it is smaller than the sum of its proper divisors (423139008).

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

222245088 is a wasteful number, since it uses less digits than its factorization.

222245088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 222245088 is about 14907.8867717729. The cubic root of 222245088 is about 605.7276385027.

The spelling of 222245088 in words is "two hundred twenty-two million, two hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 208 222 296 312 416 444 481 592 624 888 962 1184 1248 1443 1776 1924 2886 3552 3848 4813 5772 7696 9626 11544 14439 15392 19252 23088 28878 38504 46176 57756 62569 77008 115512 125138 154016 178081 187707 231024 250276 356162 375414 462048 500552 534243 712324 750828 1001104 1068486 1424648 1501656 2002208 2136972 2315053 2849296 3003312 4273944 4630106 5698592 6006624 6945159 8547888 9260212 13890318 17095776 18520424 27780636 37040848 55561272 74081696 111122544 222245088