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142222938 = 231113237207
BaseRepresentation
bin10000111101000…
…10011001011010
3100220121200012020
420132202121122
5242402113223
622040155310
73344606064
oct1036423132
9326550166
10142222938
1173310220
123b768b36
13236080b0
1414c62734
15c7451e3
hex87a265a

142222938 has 64 divisors (see below), whose sum is σ = 348751872. Its totient is φ = 38047680.

The previous prime is 142222937. The next prime is 142222943. The reversal of 142222938 is 839222241.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 142222899 and 142222908.

It is not an unprimeable number, because it can be changed into a prime (142222937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16131 + ... + 23337.

It is an arithmetic number, because the mean of its divisors is an integer number (5449248).

Almost surely, 2142222938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142222938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174375936).

142222938 is an abundant number, since it is smaller than the sum of its proper divisors (206528934).

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

142222938 is a wasteful number, since it uses less digits than its factorization.

142222938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259.

The product of its digits is 13824, while the sum is 33.

The square root of 142222938 is about 11925.7258898568. The cubic root of 142222938 is about 521.9832278341.

The spelling of 142222938 in words is "one hundred forty-two million, two hundred twenty-two thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 429 506 598 759 858 897 1518 1794 3289 6578 7207 9867 14414 19734 21621 43242 79277 93691 158554 165761 187382 237831 281073 331522 475662 497283 562146 994566 1030601 1823371 2061202 2154893 3091803 3646742 4309786 5470113 6183606 6464679 10940226 12929358 23703823 47407646 71111469 142222938