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142224312 = 23317359971
BaseRepresentation
bin10000111101000…
…10101110111000
3100220121202002010
420132202232320
5242402134222
622040205520
73344613066
oct1036425670
9326552063
10142224312
117331125a
123b7698a0
13236088c9
1414c63036
15c74580c
hex87a2bb8

142224312 has 64 divisors (see below), whose sum is σ = 377913600. Its totient is φ = 44449280.

The previous prime is 142224307. The next prime is 142224319. The reversal of 142224312 is 213422241.

142224312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142224319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145987 + ... + 146957.

It is an arithmetic number, because the mean of its divisors is an integer number (5904900).

Almost surely, 2142224312 is an apocalyptic number.

142224312 is a gapful number since it is divisible by the number (12) 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 142224312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188956800).

142224312 is an abundant number, since it is smaller than the sum of its proper divisors (235689288).

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

142224312 is a wasteful number, since it uses less digits than its factorization.

142224312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1352 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 142224312 is about 11925.7834962739. The cubic root of 142224312 is about 521.9849087694.

Adding to 142224312 its reverse (213422241), we get a palindrome (355646553).

The spelling of 142224312 in words is "one hundred forty-two million, two hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 359 408 718 971 1077 1436 1942 2154 2872 2913 3884 4308 5826 6103 7768 8616 11652 12206 16507 18309 23304 24412 33014 36618 48824 49521 66028 73236 99042 132056 146472 198084 348589 396168 697178 1045767 1394356 2091534 2788712 4183068 5926013 8366136 11852026 17778039 23704052 35556078 47408104 71112156 142224312