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142221090 = 23511631683
BaseRepresentation
bin10000111101000…
…01111100100010
3100220121120122210
420132201330202
5242402033330
622040142550
73344600514
oct1036417442
9326546583
10142221090
11733098a0
123b767a56
13236072bb
1414c61bb4
15c7448b0
hex87a1f22

142221090 has 64 divisors (see below), whose sum is σ = 373496832. Its totient is φ = 34372800.

The previous prime is 142221043. The next prime is 142221091. The reversal of 142221090 is 90122241.

It is not an unprimeable number, because it can be changed into a prime (142221091) 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, 207889 + ... + 208571.

It is an arithmetic number, because the mean of its divisors is an integer number (5835888).

Almost surely, 2142221090 is an apocalyptic number.

142221090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142221090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186748416).

142221090 is an abundant number, since it is smaller than the sum of its proper divisors (231275742).

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

142221090 is a wasteful number, since it uses less digits than its factorization.

142221090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 142221090 is about 11925.6484100446. The cubic root of 142221090 is about 521.9809669959.

The spelling of 142221090 in words is "one hundred forty-two million, two hundred twenty-one thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 631 683 1262 1366 1893 2049 3155 3415 3786 4098 6310 6830 6941 7513 9465 10245 13882 15026 18930 20490 20823 22539 34705 37565 41646 45078 69410 75130 104115 112695 208230 225390 430973 861946 1292919 2154865 2585838 4309730 4740703 6464595 9481406 12929190 14222109 23703515 28444218 47407030 71110545 142221090