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10222120032 = 253521204377
BaseRepresentation
bin10011000010100100…
…10010110001100000
3222101101201111112020
421201102102301200
5131413330320112
64410155301440
7511212405135
oct114122226140
928341644466
1010222120032
114376136093
121b9344a880
13c6ba1ab47
146cd86258c
153ec63648c
hex261492c60

10222120032 has 48 divisors (see below), whose sum is σ = 26884699632. Its totient is φ = 3400816640.

The previous prime is 10222120001. The next prime is 10222120037. The reversal of 10222120032 is 23002122201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10222119993 and 10222120020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222120037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52173 + ... + 152204.

It is an arithmetic number, because the mean of its divisors is an integer number (560097909).

Almost surely, 210222120032 is an apocalyptic number.

10222120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222120032 is an abundant number, since it is smaller than the sum of its proper divisors (16662579600).

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

10222120032 is a wasteful number, since it uses less digits than its factorization.

10222120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204911 (or 204903 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10222120032 its reverse (23002122201), we get a palindrome (33224242233).

The spelling of 10222120032 in words is "ten billion, two hundred twenty-two million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 521 1042 1563 2084 3126 4168 6252 8336 12504 16672 25008 50016 204377 408754 613131 817508 1226262 1635016 2452524 3270032 4905048 6540064 9810096 19620192 106480417 212960834 319441251 425921668 638882502 851843336 1277765004 1703686672 2555530008 3407373344 5111060016 10222120032