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226155025800 = 23325211210192
BaseRepresentation
bin1101001010011111100…
…0111101010110001000
3210121202010120122211200
43102213320331112020
512201131141311200
6251521051024200
722224222000354
oct3224770752610
9717663518750
10226155025800
1187a03686200
12379b6a3b060
1318431c311c2
14ad35a0c464
155d3974b800
hex34a7e3d588

226155025800 has 324 divisors, whose sum is σ = 835646733285. Its totient is φ = 54771657600.

The previous prime is 226155025769. The next prime is 226155025871. The reversal of 226155025800 is 8520551622.

It is a happy number.

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.

226155025800 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 550 + 25 + 80 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221631925284 + 4523100516 = 470778^2 + 67254^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336270.

It is a super-2 number, since 2×2261550258002 (a number of 24 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 221937691 + ... + 221938709.

Almost surely, 2226155025800 is an apocalyptic number.

226155025800 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 226155025800

226155025800 is an abundant number, since it is smaller than the sum of its proper divisors (609491707485).

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

226155025800 is a wasteful number, since it uses less digits than its factorization.

226155025800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 226155025800 in words is "two hundred twenty-six billion, one hundred fifty-five million, twenty-five thousand, eight hundred".