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233014312230420 = 22357554795981501
BaseRepresentation
bin110100111110110011011111…
…010011101101111000010100
31010120000221200001120201200210
4310332303133103231320110
5221020201302412333140
62143325144113005420
7100036504610145330
oct6476633723557024
91116027601521623
10233014312230420
11682778a6646686
1222173899853870
13a00320342a806
144177d4aa187c0
151be1384d17d80
hexd3ecdf4ede14

233014312230420 has 48 divisors (see below), whose sum is σ = 745645799138688. Its totient is φ = 53260414224000.

The previous prime is 233014312230377. The next prime is 233014312230457. The reversal of 233014312230420 is 24032213410332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277397990331 + ... + 277397991170.

It is an arithmetic number, because the mean of its divisors is an integer number (15534287482056).

Almost surely, 2233014312230420 is an apocalyptic number.

233014312230420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233014312230420 is an abundant number, since it is smaller than the sum of its proper divisors (512631486908268).

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

233014312230420 is a wasteful number, since it uses less digits than its factorization.

233014312230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554795981520 (or 554795981518 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 233014312230420 its reverse (24032213410332), we get a palindrome (257046525640752).

The spelling of 233014312230420 in words is "two hundred thirty-three trillion, fourteen billion, three hundred twelve million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 554795981501 1109591963002 1664387944503 2219183926004 2773979907505 3328775889006 3883571870507 5547959815010 6657551778012 7767143741014 8321939722515 11095919630020 11650715611521 15534287482028 16643879445030 19417859352535 23301431223042 33287758890060 38835718705070 46602862446084 58253578057605 77671437410140 116507156115210 233014312230420