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222113900 = 225229191401
BaseRepresentation
bin11010011110100…
…11000001101100
3120110221112222202
431033103001230
5423330121100
634012401032
75334636251
oct1517230154
9513845882
10222113900
11104417508
1262476178
133702a958
14216db428
15147767d5
hexd3d306c

222113900 has 72 divisors (see below), whose sum is σ = 502467840. Its totient is φ = 85120000.

The previous prime is 222113897. The next prime is 222113939. The reversal of 222113900 is 9311222.

222113900 is digitally balanced in base 2, because in such base 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 (20).

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, 553700 + ... + 554100.

It is an arithmetic number, because the mean of its divisors is an integer number (6978720).

Almost surely, 2222113900 is an apocalyptic number.

222113900 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 222113900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251233920).

222113900 is an abundant number, since it is smaller than the sum of its proper divisors (280353940).

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

222113900 is a wasteful number, since it uses less digits than its factorization.

222113900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 222113900 is about 14903.4861693498. The cubic root of 222113900 is about 605.6084310116.

The spelling of 222113900 in words is "two hundred twenty-two million, one hundred thirteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 191 290 382 401 580 725 764 802 955 1450 1604 1910 2005 2900 3820 4010 4775 5539 8020 9550 10025 11078 11629 19100 20050 22156 23258 27695 40100 46516 55390 58145 76591 110780 116290 138475 153182 232580 276950 290725 306364 382955 553900 581450 765910 1162900 1531820 1914775 2221139 3829550 4442278 7659100 8884556 11105695 22211390 44422780 55528475 111056950 222113900