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222870 = 235171923
BaseRepresentation
bin110110011010010110
3102022201110
4312122112
524112440
64435450
71615524
oct663226
9368643
10222870
1114249a
12a8b86
137a59b
145b314
1546080
hex36696

222870 has 64 divisors (see below), whose sum is σ = 622080. Its totient is φ = 50688.

The previous prime is 222863. The next prime is 222877. The reversal of 222870 is 78222.

222870 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222863) and next prime (222877).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9679 + ... + 9701.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2222870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311040).

222870 is an abundant number, since it is smaller than the sum of its proper divisors (399210).

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

222870 is a wasteful number, since it uses less digits than its factorization.

222870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 222870 is about 472.0910929047. The cubic root of 222870 is about 60.6294838502.

Multiplying 222870 by its sum of digits (21), we get a triangular number (4680270 = T3059).

The spelling of 222870 in words is "two hundred twenty-two thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 19 23 30 34 38 46 51 57 69 85 95 102 114 115 138 170 190 230 255 285 323 345 391 437 510 570 646 690 782 874 969 1173 1311 1615 1938 1955 2185 2346 2622 3230 3910 4370 4845 5865 6555 7429 9690 11730 13110 14858 22287 37145 44574 74290 111435 222870