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223221120000 = 2103541929211
BaseRepresentation
bin1100111111100100000…
…0111111110000000000
3210100011122220210200220
43033321000333300000
512124124101320000
6250314003143040
722061425133214
oct3177100776000
9710148823626
10223221120000
118673855936a
1237318374a80
131808514b778
14ab380cc944
155c16db11a0
hex33f903fc00

223221120000 has 880 divisors, whose sum is σ = 813422121600. Its totient is φ = 54190080000.

The previous prime is 223221119903. The next prime is 223221120011. The reversal of 223221120000 is 21122322.

It is a happy number.

It is a super-3 number, since 3×2232211200003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1057919895 + ... + 1057920105.

It is an arithmetic number, because the mean of its divisors is an integer number (924343320).

Almost surely, 2223221120000 is an apocalyptic number.

223221120000 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 223221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406711060800).

223221120000 is an abundant number, since it is smaller than the sum of its proper divisors (590201001600).

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

223221120000 is a wasteful number, since it uses less digits than its factorization.

223221120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 223221120000 its reverse (21122322), we get a palindrome (223242242322).

The spelling of 223221120000 in words is "two hundred twenty-three billion, two hundred twenty-one million, one hundred twenty thousand".