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350150022 = 232233127283
BaseRepresentation
bin10100110111101…
…101110110000110
3220101212110112100
4110313231312012
51204114300042
654424532530
711451140355
oct2467556606
9811773470
10350150022
1116a717992
1299321146
1357709581
143470999c
1520b1824c
hex14dedd86

350150022 has 48 divisors (see below), whose sum is σ = 817210368. Its totient is φ = 108036720.

The previous prime is 350149951. The next prime is 350150023. The reversal of 350150022 is 220051053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 350149977 and 350150004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350150023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808 + ... + 26475.

It is an arithmetic number, because the mean of its divisors is an integer number (17025216).

Almost surely, 2350150022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350150022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408605184).

350150022 is an abundant number, since it is smaller than the sum of its proper divisors (467060346).

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

350150022 is a wasteful number, since it uses less digits than its factorization.

350150022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27345 (or 27342 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 350150022 is about 18712.2960109122. The cubic root of 350150022 is about 704.8305492854.

The spelling of 350150022 in words is "three hundred fifty million, one hundred fifty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 713 1426 2139 4278 6417 12834 27283 54566 81849 163698 245547 491094 627509 845773 1255018 1691546 1882527 2537319 3765054 5074638 5647581 7611957 11295162 15223914 19452779 38905558 58358337 116716674 175075011 350150022