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223220088 = 2332721331157
BaseRepresentation
bin11010100111000…
…01000101111000
3120120000202101200
431103201011320
5424121020323
634052214200
75350224300
oct1523410570
9516022350
10223220088
11105002613
126290a360
13373272c0
1421908600
15148e4443
hexd4e1178

223220088 has 288 divisors, whose sum is σ = 786764160. Its totient is φ = 56609280.

The previous prime is 223220027. The next prime is 223220141. The reversal of 223220088 is 880022322.

It is a super-3 number, since 3×2232200883 (a number of 26 digits) contains 333 as substring.

223220088 is a modest number, since divided by 20088 gives 2232 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1421706 + ... + 1421862.

It is an arithmetic number, because the mean of its divisors is an integer number (2731820).

Almost surely, 2223220088 is an apocalyptic number.

223220088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223220088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393382080).

223220088 is an abundant number, since it is smaller than the sum of its proper divisors (563544072).

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

223220088 is a wasteful number, since it uses less digits than its factorization.

223220088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 223220088 is about 14940.5517970388. The cubic root of 223220088 is about 606.6121318500.

It can be divided in two parts, 2232 and 20088, that multiplied together give a square (44836416 = 66962).

The spelling of 223220088 in words is "two hundred twenty-three million, two hundred twenty thousand, eighty-eight".