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22103332020 = 223257114733931
BaseRepresentation
bin10100100101011101…
…100001010010110100
32010001102022121100200
4110211131201102310
5330231423111040
614053143040500
71411512136140
oct244535412264
963042277320
1022103332020
119412833550
12434a440130
1321133912b3
1410d979c220
15895740630
hex5257614b4

22103332020 has 288 divisors, whose sum is σ = 85371826176. Its totient is φ = 4495046400.

The previous prime is 22103331967. The next prime is 22103332123. The reversal of 22103332020 is 2023330122.

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 = 22103331984 and 22103332002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 634455 + ... + 668385.

It is an arithmetic number, because the mean of its divisors is an integer number (296429952).

Almost surely, 222103332020 is an apocalyptic number.

22103332020 is a gapful number since it is divisible by the number (20) 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 22103332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42685913088).

22103332020 is an abundant number, since it is smaller than the sum of its proper divisors (63268494156).

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

22103332020 is a wasteful number, since it uses less digits than its factorization.

22103332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34011 (or 34006 counting only the distinct ones).

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

Adding to 22103332020 its reverse (2023330122), we get a palindrome (24126662142).

The spelling of 22103332020 in words is "twenty-two billion, one hundred three million, three hundred thirty-two thousand, twenty".