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223023132 = 22341813803
BaseRepresentation
bin11010100101100…
…01000000011100
3120112122202020000
431102301000130
5424043220012
634044054300
75345444133
oct1522610034
9515582200
10223023132
11104988642
1262834390
1337288767
142189691a
15148a5ddc
hexd4b101c

223023132 has 60 divisors (see below), whose sum is σ = 586401816. Its totient is φ = 73910880.

The previous prime is 223023113. The next prime is 223023133. The reversal of 223023132 is 231320322.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223023133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56743 + ... + 60545.

Almost surely, 2223023132 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 223023132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293200908).

223023132 is an abundant number, since it is smaller than the sum of its proper divisors (363378684).

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

223023132 is a wasteful number, since it uses less digits than its factorization.

223023132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3989 counting only the distinct ones).

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

The square root of 223023132 is about 14933.9590196304. The cubic root of 223023132 is about 606.4336666459.

Adding to 223023132 its reverse (231320322), we get a palindrome (454343454).

The spelling of 223023132 in words is "two hundred twenty-three million, twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 324 362 543 724 1086 1629 2172 3258 3803 4887 6516 7606 9774 11409 14661 15212 19548 22818 29322 34227 45636 58644 68454 102681 136908 205362 308043 410724 616086 688343 1232172 1376686 2065029 2753372 4130058 6195087 8260116 12390174 18585261 24780348 37170522 55755783 74341044 111511566 223023132