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322142140 = 225232113319
BaseRepresentation
bin10011001100110…
…111111110111100
3211110011111221101
4103030313332330
51124432022030
651544342444
710661106625
oct2314677674
9743144841
10322142140
11155928181
128ba74a24
1351981268
1430ad8a4c
151d4347ca
hex13337fbc

322142140 has 48 divisors (see below), whose sum is σ = 709470720. Its totient is φ = 122633280.

The previous prime is 322142113. The next prime is 322142143. The reversal of 322142140 is 41241223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322142143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95401 + ... + 98719.

It is an arithmetic number, because the mean of its divisors is an integer number (14780640).

Almost surely, 2322142140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322142140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354735360).

322142140 is an abundant number, since it is smaller than the sum of its proper divisors (387328580).

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

322142140 is a wasteful number, since it uses less digits than its factorization.

322142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 322142140 is about 17948.3185842017. The cubic root of 322142140 is about 685.5132388859.

Adding to 322142140 its reverse (41241223), we get a palindrome (363383363).

The spelling of 322142140 in words is "three hundred twenty-two million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 211 230 422 460 844 1055 2110 3319 4220 4853 6638 9706 13276 16595 19412 24265 33190 48530 66380 76337 97060 152674 305348 381685 700309 763370 1400618 1526740 2801236 3501545 7003090 14006180 16107107 32214214 64428428 80535535 161071070 322142140