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330230142 = 233111673329
BaseRepresentation
bin10011101011101…
…110100101111110
3212000101102121000
4103223232211332
51134014331032
652433551130
711116624044
oct2353564576
9760342530
10330230142
1115a451880
12927154a6
1353553768
1431c02394
151ded0e7c
hex13aee97e

330230142 has 64 divisors (see below), whose sum is σ = 805593600. Its totient is φ = 99440640.

The previous prime is 330230129. The next prime is 330230167. The reversal of 330230142 is 241032033.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 97534 + ... + 100862.

It is an arithmetic number, because the mean of its divisors is an integer number (12587400).

Almost surely, 2330230142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330230142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402796800).

330230142 is an abundant number, since it is smaller than the sum of its proper divisors (475363458).

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

330230142 is a wasteful number, since it uses less digits than its factorization.

330230142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 330230142 is about 18172.2354706294. The cubic root of 330230142 is about 691.2029299765.

Adding to 330230142 its reverse (241032033), we get a palindrome (571262175).

The spelling of 330230142 in words is "three hundred thirty million, two hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 501 594 1002 1503 1837 3006 3329 3674 4509 5511 6658 9018 9987 11022 16533 19974 29961 33066 36619 49599 59922 73238 89883 99198 109857 179766 219714 329571 555943 659142 988713 1111886 1667829 1977426 3335658 5003487 6115373 10006974 12230746 15010461 18346119 30020922 36692238 55038357 110076714 165115071 330230142