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223014422432100 = 22352131731489221987
BaseRepresentation
bin110010101101010010010111…
…011011011100100101100100
31002020121222012112201022011010
4302231102113123130211210
5213212332014120311400
62110151224501542220
764655155200262515
oct6255222733344544
91066558175638133
10223014422432100
1165071981541832
1221019832a14970
1397592290783b0
143d0dd543b4a0c
151abb1b48e2450
hexcad4976dc964

223014422432100 has 288 divisors, whose sum is σ = 699379303109760. Its totient is φ = 54541640540160.

The previous prime is 223014422432059. The next prime is 223014422432147. The reversal of 223014422432100 is 1234224410322.

It is a super-2 number, since 2×2230144224321002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1004517307 + ... + 1004739293.

It is an arithmetic number, because the mean of its divisors is an integer number (2428400358020).

Almost surely, 2223014422432100 is an apocalyptic number.

223014422432100 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 223014422432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349689651554880).

223014422432100 is an abundant number, since it is smaller than the sum of its proper divisors (476364880677660).

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

223014422432100 is a wasteful number, since it uses less digits than its factorization.

223014422432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223679 (or 223672 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 223014422432100 its reverse (1234224410322), we get a palindrome (224248646842422).

The spelling of 223014422432100 in words is "two hundred twenty-three trillion, fourteen billion, four hundred twenty-two million, four hundred thirty-two thousand, one hundred".