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10220232330 = 232572112107179
BaseRepresentation
bin10011000010010110…
…00101111010001010
3222101021011121002100
421201023011322022
5131412334413310
64410051014230
7511160353500
oct114113057212
928337147070
1010220232330
114375066900
121b9289a376
13c6b509869
146cd4d0670
153ec3b1ec0
hex2612c5e8a

10220232330 has 432 divisors, whose sum is σ = 34485665760. Its totient is φ = 2092083840.

The previous prime is 10220232317. The next prime is 10220232331. The reversal of 10220232330 is 3323202201.

It is a happy number.

10220232330 is a `hidden beast` number, since 102 + 2 + 0 + 232 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10220232331) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 57096181 + ... + 57096359.

It is an arithmetic number, because the mean of its divisors is an integer number (79827930).

Almost surely, 210220232330 is an apocalyptic number.

10220232330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220232330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17242832880).

10220232330 is an abundant number, since it is smaller than the sum of its proper divisors (24265433430).

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

10220232330 is a wasteful number, since it uses less digits than its factorization.

10220232330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10220232330 its reverse (3323202201), we get a palindrome (13543434531).

The spelling of 10220232330 in words is "ten billion, two hundred twenty million, two hundred thirty-two thousand, three hundred thirty".