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222132300 = 223521356957
BaseRepresentation
bin11010011110101…
…11100001001100
3120110222111020020
431033113201030
5423331213200
634013022140
75335044015
oct1517274114
9513874206
10222132300
1110442a315
1262484950
1337036140
142170400c
151477bea0
hexd3d784c

222132300 has 72 divisors (see below), whose sum is σ = 692153616. Its totient is φ = 54677760.

The previous prime is 222132283. The next prime is 222132311. The reversal of 222132300 is 3231222.

222132300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

222132300 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 222132300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24579 + ... + 32378.

Almost surely, 2222132300 is an apocalyptic number.

222132300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222132300 is an abundant number, since it is smaller than the sum of its proper divisors (470021316).

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

222132300 is a wasteful number, since it uses less digits than its factorization.

222132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56987 (or 56980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 222132300 is about 14904.1034617987. The cubic root of 222132300 is about 605.6251534941.

Adding to 222132300 its reverse (3231222), we get a palindrome (225363522).

The spelling of 222132300 in words is "two hundred twenty-two million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 56957 113914 170871 227828 284785 341742 569570 683484 740441 854355 1139140 1423925 1480882 1708710 2221323 2847850 2961764 3417420 3702205 4271775 4442646 5695700 7404410 8543550 8885292 11106615 14808820 17087100 18511025 22213230 37022050 44426460 55533075 74044100 111066150 222132300