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10222390210032 = 2435721113375227
BaseRepresentation
bin1001010011000001010111…
…1011111110110111110000
31100012020202221122110100000
42110300111323332313300
52314440423343210112
633424033511030000
72103354234055500
oct224602573766760
940166687573300
1010222390210032
11329132285a430
12119120196b300
13591c760c0b90
14274aa2b27a00
1512ad93dc37dc
hex94c15efedf0

10222390210032 has 720 divisors, whose sum is σ = 40545480673152. Its totient is φ = 2450916195840.

The previous prime is 10222390210027. The next prime is 10222390210057. The reversal of 10222390210032 is 23001209322201.

10222390210032 is a `hidden beast` number, since 1 + 0 + 222 + 390 + 21 + 0 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10222390209978 and 10222390210005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27055603 + ... + 27430829.

Almost surely, 210222390210032 is an apocalyptic number.

10222390210032 is a gapful number since it is divisible by the number (12) 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 10222390210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272740336576).

10222390210032 is an abundant number, since it is smaller than the sum of its proper divisors (30323090463120).

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

10222390210032 is a wasteful number, since it uses less digits than its factorization.

10222390210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375288 (or 375263 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10222390210032 its reverse (23001209322201), we get a palindrome (33223599532233).

The spelling of 10222390210032 in words is "ten trillion, two hundred twenty-two billion, three hundred ninety million, two hundred ten thousand, thirty-two".