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223405252000 = 2553716747777
BaseRepresentation
bin1101000000001111111…
…1011001110110100000
3210100122111101200022121
43100003333121312200
512130013221031000
6250344141514024
722066122211210
oct3200377316640
9710574350277
10223405252000
1186822493477
1237369b72914
13180b433b308
14ab54740240
155c28133b1a
hex3403fd9da0

223405252000 has 192 divisors, whose sum is σ = 631091575296. Its totient is φ = 76135833600.

The previous prime is 223405251973. The next prime is 223405252039. The reversal of 223405252000 is 252504322.

It is a happy number.

223405252000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4652112 + ... + 4699888.

It is an arithmetic number, because the mean of its divisors is an integer number (3286935288).

Almost surely, 2223405252000 is an apocalyptic number.

223405252000 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 223405252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315545787648).

223405252000 is an abundant number, since it is smaller than the sum of its proper divisors (407686323296).

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

223405252000 is a wasteful number, since it uses less digits than its factorization.

223405252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47976 (or 47958 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 223405252000 its reverse (252504322), we get a palindrome (223657756322).

The spelling of 223405252000 in words is "two hundred twenty-three billion, four hundred five million, two hundred fifty-two thousand".