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2220012230100 = 2235274015574733
BaseRepresentation
bin100000010011100011000…
…010100101010111010100
321212020020110200011020220
4200103203002211113110
5242333041112330400
64415505354354340
7316250654414160
oct40234302452724
97766213604226
102220012230100
11786558034725
122ba30572b9b0
13131466950b02
147964071bca0
153cb332d67a0
hex204e30a55d4

2220012230100 has 288 divisors, whose sum is σ = 7373916539136. Its totient is φ = 505150464000.

The previous prime is 2220012230081. The next prime is 2220012230113. The reversal of 2220012230100 is 10322100222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2220012230100.

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 95 ways as a sum of consecutive naturals, for example, 469047334 + ... + 469052066.

It is an arithmetic number, because the mean of its divisors is an integer number (25603876872).

Almost surely, 22220012230100 is an apocalyptic number.

2220012230100 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 2220012230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686958269568).

2220012230100 is an abundant number, since it is smaller than the sum of its proper divisors (5153904309036).

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

2220012230100 is a wasteful number, since it uses less digits than its factorization.

2220012230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5708 counting only the distinct ones).

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

Adding to 2220012230100 its reverse (10322100222), we get a palindrome (2230334330322).

The spelling of 2220012230100 in words is "two trillion, two hundred twenty billion, twelve million, two hundred thirty thousand, one hundred".