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233402420 = 22511670121
BaseRepresentation
bin11011110100101…
…11000000110100
3121021012001221002
431322113000310
5434222334140
635054342432
75532613346
oct1572270064
9537161832
10233402420
1110a827769
12661baa18
1339480b54
1422dd9296
1515756415
hexde97034

233402420 has 12 divisors (see below), whose sum is σ = 490145124. Its totient is φ = 93360960.

The previous prime is 233402399. The next prime is 233402437. The reversal of 233402420 is 24204332.

233402420 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 24542116 + 208860304 = 4954^2 + 14452^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 11670121 = 233402420 / (2 + 3 + 3 + 4 + 0 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 233402392 and 233402401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5835041 + ... + 5835080.

It is an arithmetic number, because the mean of its divisors is an integer number (40845427).

Almost surely, 2233402420 is an apocalyptic number.

233402420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233402420 is an abundant number, since it is smaller than the sum of its proper divisors (256742704).

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

233402420 is a wasteful number, since it uses less digits than its factorization.

233402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11670130 (or 11670128 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 233402420 is about 15277.5135411493. The cubic root of 233402420 is about 615.6990047172.

Adding to 233402420 its reverse (24204332), we get a palindrome (257606752).

The spelling of 233402420 in words is "two hundred thirty-three million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 11670121 23340242 46680484 58350605 116701210 233402420