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233036420 = 22533133517
BaseRepresentation
bin11011110001111…
…01101010000100
3121020111110212112
431320331222010
5434124131140
635042440152
75526530321
oct1570755204
9536443775
10233036420
1110a5a7791
1266063058
1339383396
1422d41b48
15156d2c65
hexde3da84

233036420 has 24 divisors (see below), whose sum is σ = 489663384. Its totient is φ = 93159936.

The previous prime is 233036407. The next prime is 233036429. The reversal of 233036420 is 24630332.

It can be written as a sum of positive squares in 4 ways, for example, as 135303424 + 97732996 = 11632^2 + 9886^2 .

It is not an unprimeable number, because it can be changed into a prime (233036429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64502 + ... + 68018.

It is an arithmetic number, because the mean of its divisors is an integer number (20402641).

Almost surely, 2233036420 is an apocalyptic number.

233036420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233036420 is an abundant number, since it is smaller than the sum of its proper divisors (256626964).

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

233036420 is a wasteful number, since it uses less digits than its factorization.

233036420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6839 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 233036420 is about 15265.5304526243. The cubic root of 233036420 is about 615.3770090166.

Adding to 233036420 its reverse (24630332), we get a palindrome (257666752).

The spelling of 233036420 in words is "two hundred thirty-three million, thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 3313 3517 6626 7034 13252 14068 16565 17585 33130 35170 66260 70340 11651821 23303642 46607284 58259105 116518210 233036420