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223123680 = 253351329137
BaseRepresentation
bin11010100110010…
…01100011100000
3120112211212011000
431103021203200
5424104424210
634050152000
75346343233
oct1523114340
9515755130
10223123680
11104a4713a
1262882600
13372c2460
14218c141a
15148c5ac0
hexd4c98e0

223123680 has 384 divisors, whose sum is σ = 876355200. Its totient is φ = 52641792.

The previous prime is 223123673. The next prime is 223123687. The reversal of 223123680 is 86321322.

It is an interprime number because it is at equal distance from previous prime (223123673) and next prime (223123687).

It is a super-3 number, since 3×2231236803 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223123687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1628572 + ... + 1628708.

It is an arithmetic number, because the mean of its divisors is an integer number (2282175).

Almost surely, 2223123680 is an apocalyptic number.

223123680 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 223123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438177600).

223123680 is an abundant number, since it is smaller than the sum of its proper divisors (653231520).

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

223123680 is a wasteful number, since it uses less digits than its factorization.

223123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 223123680 is about 14937.3250617371. The cubic root of 223123680 is about 606.5247880326.

The spelling of 223123680 in words is "two hundred twenty-three million, one hundred twenty-three thousand, six hundred eighty".