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222981264 = 2432111931239
BaseRepresentation
bin11010100101001…
…10110010010000
3120112120121210100
431102212302100
5424040400024
634043132400
75345211102
oct1522466220
9515517710
10222981264
1110495a140
1262814100
133727269c
1421885572
15148987c9
hexd4a6c90

222981264 has 240 divisors, whose sum is σ = 742809600. Its totient is φ = 61689600.

The previous prime is 222981221. The next prime is 222981271. The reversal of 222981264 is 462189222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 932857 + ... + 933095.

It is an arithmetic number, because the mean of its divisors is an integer number (3095040).

Almost surely, 2222981264 is an apocalyptic number.

222981264 is a gapful number since it is divisible by the number (24) 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 222981264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371404800).

222981264 is an abundant number, since it is smaller than the sum of its proper divisors (519828336).

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

222981264 is a wasteful number, since it uses less digits than its factorization.

222981264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 222981264 is about 14932.5571822110. The cubic root of 222981264 is about 606.3957157937.

The spelling of 222981264 in words is "two hundred twenty-two million, nine hundred eighty-one thousand, two hundred sixty-four".