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22210230120 = 23351321957641
BaseRepresentation
bin10100101011110101…
…010011011101101000
32010022212110120222120
4110223311103131220
5330441304330440
614111522151240
71414250561331
oct245365233550
963285416876
1022210230120
119468106691
12437a1b2520
13212c57b800
141109a67288
1589ed08dd0
hex52bd53768

22210230120 has 192 divisors, whose sum is σ = 75949099200. Its totient is φ = 5179299840.

The previous prime is 22210230079. The next prime is 22210230121. The reversal of 22210230120 is 2103201222.

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 22210230120.

It is not an unprimeable number, because it can be changed into a prime (22210230121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356500 + ... + 414140.

It is an arithmetic number, because the mean of its divisors is an integer number (395568225).

Almost surely, 222210230120 is an apocalyptic number.

22210230120 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 22210230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37974549600).

22210230120 is an abundant number, since it is smaller than the sum of its proper divisors (53738869080).

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

22210230120 is a wasteful number, since it uses less digits than its factorization.

22210230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57700 (or 57683 counting only the distinct ones).

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

Adding to 22210230120 its reverse (2103201222), we get a palindrome (24313431342).

The spelling of 22210230120 in words is "twenty-two billion, two hundred ten million, two hundred thirty thousand, one hundred twenty".