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223214442000 = 243531119117707
BaseRepresentation
bin1100111111100010011…
…1100001011000010000
3210100011012100112012120
43033320213201120100
512124120344121000
6250313204054240
722061314310634
oct3177047413020
9710135315176
10223214442000
1186734808060
1237316094380
1318083950ca4
14ab37270dc4
155c164e26a0
hex33f89e1610

223214442000 has 320 divisors, whose sum is σ = 789220343808. Its totient is φ = 53826240000.

The previous prime is 223214441971. The next prime is 223214442037. The reversal of 223214442000 is 244412322.

It is a super-3 number, since 3×2232144420003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12597147 + ... + 12614853.

Almost surely, 2223214442000 is an apocalyptic number.

223214442000 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 223214442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394610171904).

223214442000 is an abundant number, since it is smaller than the sum of its proper divisors (566005901808).

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

223214442000 is a wasteful number, since it uses less digits than its factorization.

223214442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17935 (or 17919 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 223214442000 its reverse (244412322), we get a palindrome (223458854322).

The spelling of 223214442000 in words is "two hundred twenty-three billion, two hundred fourteen million, four hundred forty-two thousand".