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2220331332120 = 2335112199768419
BaseRepresentation
bin100000010011110110000…
…011110111001000011000
321212021001201010012221020
4200103312003313020120
5242334214310111440
64420001154042440
7316261610632566
oct40236603671030
97767051105836
102220331332120
11786701175800
122ba394579420
131314b7aa9385
1479670c64a36
153cb5131a3d0
hex204f60f7218

2220331332120 has 192 divisors, whose sum is σ = 7358389920000. Its totient is φ = 535556609280.

The previous prime is 2220331332119. The next prime is 2220331332203. The reversal of 2220331332120 is 212331330222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2505271 + ... + 3273689.

It is an arithmetic number, because the mean of its divisors is an integer number (38324947500).

Almost surely, 22220331332120 is an apocalyptic number.

2220331332120 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 2220331332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679194960000).

2220331332120 is an abundant number, since it is smaller than the sum of its proper divisors (5138058587880).

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

2220331332120 is a wasteful number, since it uses less digits than its factorization.

2220331332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768654 (or 768639 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2220331332120 its reverse (212331330222), we get a palindrome (2432662662342).

The spelling of 2220331332120 in words is "two trillion, two hundred twenty billion, three hundred thirty-one million, three hundred thirty-two thousand, one hundred twenty".