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231220320232200 = 2335213232694791277
BaseRepresentation
bin110100100100101100101101…
…000011010110001100001000
31010022200110001200010200021120
4310210230231003112030020
5220301303203434412300
62135433052042235240
766463055040600405
oct6444545503261410
91108613050120246
10231220320232200
1167745a94962722
1221b240694b5b20
139c02ca0b23560
1441151a213d2ac
151bae8879783a0
hexd24b2d0d6308

231220320232200 has 384 divisors, whose sum is σ = 808476416697600. Its totient is φ = 54238777528320.

The previous prime is 231220320232151. The next prime is 231220320232259. The reversal of 231220320232200 is 2232023022132.

It is a super-2 number, since 2×2312203202322002 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45862962 + ... + 50654238.

It is an arithmetic number, because the mean of its divisors is an integer number (2105407335150).

Almost surely, 2231220320232200 is an apocalyptic number.

231220320232200 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 231220320232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404238208348800).

231220320232200 is an abundant number, since it is smaller than the sum of its proper divisors (577256096465400).

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

231220320232200 is a wasteful number, since it uses less digits than its factorization.

231220320232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4791601 (or 4791592 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 231220320232200 its reverse (2232023022132), we get a palindrome (233452343254332).

The spelling of 231220320232200 in words is "two hundred thirty-one trillion, two hundred twenty billion, three hundred twenty million, two hundred thirty-two thousand, two hundred".