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10021233222 = 2337111331097
BaseRepresentation
bin10010101010100111…
…11110001001000110
3221212101201101122000
421111103332021012
5131010413430342
64334221450130
7503223035250
oct112523761106
927771641560
1010021233222
1142827a7930
121b38110946
13c39213000
146b0ccccd0
153d9ba444c
hex2554fe246

10021233222 has 256 divisors, whose sum is σ = 30104524800. Its totient is φ = 2400503040.

The previous prime is 10021233179. The next prime is 10021233241. The reversal of 10021233222 is 22233212001.

10021233222 is a `hidden beast` number, since 100 + 212 + 332 + 22 = 666.

10021233222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10021233195 and 10021233204.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 9134578 + ... + 9135674.

It is an arithmetic number, because the mean of its divisors is an integer number (117595800).

Almost surely, 210021233222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021233222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15052262400).

10021233222 is an abundant number, since it is smaller than the sum of its proper divisors (20083291578).

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

10021233222 is a wasteful number, since it uses less digits than its factorization.

10021233222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10021233222 its reverse (22233212001), we get a palindrome (32254445223).

The spelling of 10021233222 in words is "ten billion, twenty-one million, two hundred thirty-three thousand, two hundred twenty-two".