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233040120 = 23351942001
BaseRepresentation
bin11011110001111…
…10100011111000
3121020111122221120
431320332203320
5434124240440
635042505240
75526544155
oct1570764370
9536448846
10233040120
1110a5aa545
1266065220
1339384c81
1422d4322c
15156d3dd0
hexde3e8f8

233040120 has 32 divisors (see below), whose sum is σ = 699120720. Its totient is φ = 62144000.

The previous prime is 233040107. The next prime is 233040121. The reversal of 233040120 is 21040332.

It is a super-2 number, since 2×2330401202 = 108615395059228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 233040120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233040121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970881 + ... + 971120.

Almost surely, 2233040120 is an apocalyptic number.

233040120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233040120 is an abundant number, since it is smaller than the sum of its proper divisors (466080600).

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

233040120 is a wasteful number, since it uses less digits than its factorization.

233040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942015 (or 1942011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 233040120 is about 15265.6516402019. The cubic root of 233040120 is about 615.3802658507.

Adding to 233040120 its reverse (21040332), we get a palindrome (254080452).

The spelling of 233040120 in words is "two hundred thirty-three million, forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1942001 3884002 5826003 7768004 9710005 11652006 15536008 19420010 23304012 29130015 38840020 46608024 58260030 77680040 116520060 233040120