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223031002320 = 24325759750037
BaseRepresentation
bin1100111110110110101…
…1110000010011010000
3210022200102011211021100
43033231223300103100
512123231414033240
6250243052224400
722053626145240
oct3175553602320
9708612154240
10223031002320
1186650206115
123728476b100
13180549445b9
14ab1ab5db20
155c05359e30
hex33edaf04d0

223031002320 has 240 divisors, whose sum is σ = 870524104320. Its totient is φ = 50114405376.

The previous prime is 223031002303. The next prime is 223031002321. The reversal of 223031002320 is 23200130322.

It is a happy number.

223031002320 is a `hidden beast` number, since 2 + 2 + 30 + 310 + 0 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223031002293 and 223031002302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223031002321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77659 + ... + 672378.

It is an arithmetic number, because the mean of its divisors is an integer number (3627183768).

Almost surely, 2223031002320 is an apocalyptic number.

223031002320 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 223031002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435262052160).

223031002320 is an abundant number, since it is smaller than the sum of its proper divisors (647493102000).

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

223031002320 is a wasteful number, since it uses less digits than its factorization.

223031002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750122 (or 750113 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 223031002320 its reverse (23200130322), we get a palindrome (246231132642).

The spelling of 223031002320 in words is "two hundred twenty-three billion, thirty-one million, two thousand, three hundred twenty".