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222213120 = 21035172337
BaseRepresentation
bin11010011111010…
…11010000000000
3120111010121002120
431033223100000
5423341304440
634014444240
75335531443
oct1517532000
9514117076
10222213120
11104485008
1262503680
1337063b6c
142172565a
1514795dd0
hexd3eb400

222213120 has 352 divisors, whose sum is σ = 806485248. Its totient is φ = 51904512.

The previous prime is 222213119. The next prime is 222213149. The reversal of 222213120 is 21312222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 222213120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6005742 + ... + 6005778.

Almost surely, 2222213120 is an apocalyptic number.

222213120 is a gapful number since it is divisible by the number (20) 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 222213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403242624).

222213120 is an abundant number, since it is smaller than the sum of its proper divisors (584272128).

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

222213120 is a wasteful number, since it uses less digits than its factorization.

222213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 222213120 is about 14906.8145490578. The cubic root of 222213120 is about 605.6985942467.

Adding to 222213120 its reverse (21312222), we get a palindrome (243525342).

The spelling of 222213120 in words is "two hundred twenty-two million, two hundred thirteen thousand, one hundred twenty".