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222112001020 = 2257213109307521
BaseRepresentation
bin1100111011011011101…
…0000010101111111100
3210020022100220201111011
43032312322002233330
512114341133013040
6250011543005004
722022066600200
oct3166672025774
9706270821434
10222112001020
1186219485908
1237068a39764
1317c39427250
14aa70a98b00
155b9e8283ea
hex33b6e82bfc

222112001020 has 288 divisors, whose sum is σ = 592742525760. Its totient is φ = 69289758720.

The previous prime is 222112001011. The next prime is 222112001021. The reversal of 222112001020 is 20100211222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222112001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426318360 + ... + 426318880.

It is an arithmetic number, because the mean of its divisors is an integer number (2058133770).

Almost surely, 2222112001020 is an apocalyptic number.

222112001020 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 222112001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296371262880).

222112001020 is an abundant number, since it is smaller than the sum of its proper divisors (370630524740).

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

222112001020 is a wasteful number, since it uses less digits than its factorization.

222112001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 222112001020 its reverse (20100211222), we get a palindrome (242212212242).

The spelling of 222112001020 in words is "two hundred twenty-two billion, one hundred twelve million, one thousand, twenty".