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22441100220 = 22345711179903
BaseRepresentation
bin10100111001100110…
…000000001110111100
32010220221220000020000
4110321212000032330
5331424410201340
614150450354300
71423053130110
oct247146001674
963827800200
1022441100220
119576463820
12442358b990
132168353b36
14112c5a3740
158b520ed30
hex5399803bc

22441100220 has 240 divisors, whose sum is σ = 87770124288. Its totient is φ = 4663059840.

The previous prime is 22441100197. The next prime is 22441100243. The reversal of 22441100220 is 2200114422.

22441100220 is a `hidden beast` number, since 2 + 2 + 441 + 1 + 0 + 0 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (22441100197) and next prime (22441100243).

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 = 22441100193 and 22441100202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34789 + ... + 214691.

Almost surely, 222441100220 is an apocalyptic number.

22441100220 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 22441100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43885062144).

22441100220 is an abundant number, since it is smaller than the sum of its proper divisors (65329024068).

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

22441100220 is a wasteful number, since it uses less digits than its factorization.

22441100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179942 (or 179931 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22441100220 its reverse (2200114422), we get a palindrome (24641214642).

The spelling of 22441100220 in words is "twenty-two billion, four hundred forty-one million, one hundred thousand, two hundred twenty".