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223070381280 = 25325599832671
BaseRepresentation
bin1100111111000000000…
…1111110010011100000
3210022210011021111001100
43033300001332103200
512123322004200110
6250251020234400
722054614645555
oct3176001762340
9708704244040
10223070381280
118667046210a
123729599ba00
131805cb51566
14ab22090a2c
155c08a37bc0
hex33f007e4e0

223070381280 has 288 divisors, whose sum is σ = 775207480320. Its totient is φ = 58395847680.

The previous prime is 223070381279. The next prime is 223070381299. The reversal of 223070381280 is 82183070322.

It is a happy number.

223070381280 is a `hidden beast` number, since 2 + 230 + 70 + 3 + 81 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2230703812803 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83514345 + ... + 83517015.

It is an arithmetic number, because the mean of its divisors is an integer number (2691692640).

Almost surely, 2223070381280 is an apocalyptic number.

223070381280 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 223070381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387603740160).

223070381280 is an abundant number, since it is smaller than the sum of its proper divisors (552137099040).

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

223070381280 is a wasteful number, since it uses less digits than its factorization.

223070381280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 223070381280 in words is "two hundred twenty-three billion, seventy million, three hundred eighty-one thousand, two hundred eighty".