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223342140 = 22357599013
BaseRepresentation
bin11010100111111…
…10111000111100
3120120020221211010
431103332320330
5424133422030
634054555220
75351243160
oct1523767074
9516227733
10223342140
1110508628a
1262968b10
133736aa18
142193aca0
151491a6b0
hexd4fee3c

223342140 has 96 divisors (see below), whose sum is σ = 726888960. Its totient is φ = 50178816.

The previous prime is 223342069. The next prime is 223342151. The reversal of 223342140 is 41243322.

223342140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2233421402 = 99763422999559200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20274 + ... + 29286.

It is an arithmetic number, because the mean of its divisors is an integer number (7571760).

Almost surely, 2223342140 is an apocalyptic number.

223342140 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 223342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363444480).

223342140 is an abundant number, since it is smaller than the sum of its proper divisors (503546820).

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

223342140 is a wasteful number, since it uses less digits than its factorization.

223342140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091 (or 9089 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 223342140 is about 14944.6358269447. The cubic root of 223342140 is about 606.7226725791.

Adding to 223342140 its reverse (41243322), we get a palindrome (264585462).

The spelling of 223342140 in words is "two hundred twenty-three million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 59 60 70 84 105 118 140 177 210 236 295 354 413 420 590 708 826 885 1180 1239 1652 1770 2065 2478 3540 4130 4956 6195 8260 9013 12390 18026 24780 27039 36052 45065 54078 63091 90130 108156 126182 135195 180260 189273 252364 270390 315455 378546 531767 540780 630910 757092 946365 1063534 1261820 1595301 1892730 2127068 2658835 3190602 3722369 3785460 5317670 6381204 7444738 7976505 10635340 11167107 14889476 15953010 18611845 22334214 31906020 37223690 44668428 55835535 74447380 111671070 223342140