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222132042 = 232112791291
BaseRepresentation
bin11010011110101…
…11011101001010
3120110222110212200
431033113131022
5423331211132
634013021030
75335043166
oct1517273512
9513873780
10222132042
1110442a100
1262484776
1337035ca2
1421703ca6
151477bd7c
hexd3d774a

222132042 has 72 divisors (see below), whose sum is σ = 536128320. Its totient is φ = 66409200.

The previous prime is 222132041. The next prime is 222132073. The reversal of 222132042 is 240231222.

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

It is not an unprimeable number, because it can be changed into a prime (222132041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171417 + ... + 172707.

Almost surely, 2222132042 is an apocalyptic number.

222132042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222132042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268064160).

222132042 is an abundant number, since it is smaller than the sum of its proper divisors (313996278).

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

222132042 is a wasteful number, since it uses less digits than its factorization.

222132042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 222132042 is about 14904.0948064617. The cubic root of 222132042 is about 605.6249190222.

Adding to 222132042 its reverse (240231222), we get a palindrome (462363264).

The spelling of 222132042 in words is "two hundred twenty-two million, one hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 121 158 198 237 242 363 474 711 726 869 1089 1291 1422 1738 2178 2582 2607 3873 5214 7746 7821 9559 11619 14201 15642 19118 23238 28402 28677 42603 57354 85206 86031 101989 127809 156211 172062 203978 255618 305967 312422 468633 611934 917901 937266 1121879 1405899 1835802 2243758 2811798 3365637 6731274 10096911 12340669 20193822 24681338 37022007 74044014 111066021 222132042