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381221656200 = 23385274112
BaseRepresentation
bin1011000110000101001…
…01001101011010001000
31100102222222210200000000
411203002211031122020
522221220220444300
6451044131043000
736354012420000
oct5430245153210
91312888720000
10381221656200
11137747760800
1261a72440460
1329c4509b0c8
1414646247000
159db3044c00
hex58c294d688

381221656200 has 1620 divisors, whose sum is σ = 1704735222645. Its totient is φ = 79214889600.

The previous prime is 381221656187. The next prime is 381221656213. The reversal of 381221656200 is 2656122183.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

381221656200 is a `hidden beast` number, since 3 + 8 + 1 + 2 + 21 + 6 + 5 + 620 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (381221656187) and next prime (381221656213).

It can be written as a sum of positive squares in 2 ways, for example, as 373597223076 + 7624433124 = 611226^2 + 87318^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=436590.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 34656514195 + ... + 34656514205.

Almost surely, 2381221656200 is an apocalyptic number.

381221656200 is a gapful number since it is divisible by the number (30) 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 381221656200

381221656200 is an abundant number, since it is smaller than the sum of its proper divisors (1323513566445).

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

381221656200 is an frugal number, since it uses more digits than its factorization.

381221656200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 381221656200 its reverse (2656122183), we get a palindrome (383877778383).

The spelling of 381221656200 in words is "three hundred eighty-one billion, two hundred twenty-one million, six hundred fifty-six thousand, two hundred".