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223067072 = 2629313877
BaseRepresentation
bin11010100101110…
…11101111000000
3120112201222111102
431102323233000
5424101121242
634045033532
75346016214
oct1522735700
9515658442
10223067072
11104a08658
12628558a8
13372a2767
14218a8944
15148b3e32
hexd4bbbc0

223067072 has 56 divisors (see below), whose sum is σ = 472805760. Its totient is φ = 104186880.

The previous prime is 223067069. The next prime is 223067113. The reversal of 223067072 is 270760322.

It is a super-2 number, since 2×2230670722 = 99517837221306368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55598 + ... + 59474.

It is an arithmetic number, because the mean of its divisors is an integer number (8442960).

Almost surely, 2223067072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236402880).

223067072 is an abundant number, since it is smaller than the sum of its proper divisors (249738688).

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

223067072 is a wasteful number, since it uses less digits than its factorization.

223067072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 223067072 is about 14935.4300908946. The cubic root of 223067072 is about 606.4734905351.

The spelling of 223067072 in words is "two hundred twenty-three million, sixty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 232 248 464 496 899 928 992 1798 1856 1984 3596 3877 7192 7754 14384 15508 28768 31016 57536 62032 112433 120187 124064 224866 240374 248128 449732 480748 899464 961496 1798928 1922992 3485423 3597856 3845984 6970846 7195712 7691968 13941692 27883384 55766768 111533536 223067072