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122220384 = 253111329307
BaseRepresentation
bin1110100100011…
…10111101100000
322111222102211220
413102032331200
5222242023014
620043335040
73012566436
oct722167540
9274872756
10122220384
1162a98a90
1234b21480
131c423770
1412336d56
15aae36a9
hex748ef60

122220384 has 192 divisors, whose sum is σ = 391184640. Its totient is φ = 32901120.

The previous prime is 122220377. The next prime is 122220401. The reversal of 122220384 is 483022221.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 397959 + ... + 398265.

It is an arithmetic number, because the mean of its divisors is an integer number (2037420).

Almost surely, 2122220384 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 122220384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592320).

122220384 is an abundant number, since it is smaller than the sum of its proper divisors (268964256).

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

122220384 is a wasteful number, since it uses less digits than its factorization.

122220384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 122220384 is about 11055.3328308107. The cubic root of 122220384 is about 496.2660296793.

The spelling of 122220384 in words is "one hundred twenty-two million, two hundred twenty thousand, three hundred eighty-four".