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223808400000 = 273355172353
BaseRepresentation
bin1101000001110000000…
…1010010101010000000
3210101200120222201102000
43100130001102222000
512131324422300000
6250452142424000
722112116003623
oct3203401225200
9711616881360
10223808400000
1186a0a009539
1237460b92000
1318149a12723
14ab920c3dba
155c4d71a000
hex341c052a80

223808400000 has 1536 divisors, whose sum is σ = 929415513600. Its totient is φ = 52715520000.

The previous prime is 223808399933. The next prime is 223808400007. The reversal of 223808400000 is 4808322.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (223808400007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4222799974 + ... + 4222800026.

It is an arithmetic number, because the mean of its divisors is an integer number (605088225).

Almost surely, 2223808400000 is an apocalyptic number.

223808400000 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 223808400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464707756800).

223808400000 is an abundant number, since it is smaller than the sum of its proper divisors (705607113600).

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

223808400000 is an equidigital number, since it uses as much as digits as its factorization.

223808400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 223808400000 in words is "two hundred twenty-three billion, eight hundred eight million, four hundred thousand".