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233142140 = 225711151391
BaseRepresentation
bin11011110010101…
…11011101111100
3121020200211220002
431321113131330
5434141022030
635045013432
75530450460
oct1571273574
9536624802
10233142140
1110a66a160
12660b4278
13393bc53a
1422d6c4a0
1515704245
hexde5777c

233142140 has 48 divisors (see below), whose sum is σ = 610412544. Its totient is φ = 72667200.

The previous prime is 233142127. The next prime is 233142163. The reversal of 233142140 is 41241332.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 74156 + ... + 77235.

It is an arithmetic number, because the mean of its divisors is an integer number (12716928).

Almost surely, 2233142140 is an apocalyptic number.

233142140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233142140 is an abundant number, since it is smaller than the sum of its proper divisors (377270404).

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

233142140 is a wasteful number, since it uses less digits than its factorization.

233142140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151418 (or 151416 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 233142140 is about 15268.9927631131. The cubic root of 233142140 is about 615.4700528732.

Adding to 233142140 its reverse (41241332), we get a palindrome (274383472).

The spelling of 233142140 in words is "two hundred thirty-three million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 151391 302782 605564 756955 1059737 1513910 1665301 2119474 3027820 3330602 4238948 5298685 6661204 8326505 10597370 11657107 16653010 21194740 23314214 33306020 46628428 58285535 116571070 233142140