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420205233 = 37216717117
BaseRepresentation
bin11001000010111…
…101001010110001
31002021200122012210
4121002331022301
51330033031413
6105410242333
713261454100
oct3102751261
91067618183
10420205233
111a6216458
12b88863a9
1369097266
143db44037
1526d553c3
hex190bd2b1

420205233 has 24 divisors (see below), whose sum is σ = 655687872. Its totient is φ = 238665504.

The previous prime is 420205231. The next prime is 420205237. The reversal of 420205233 is 332502024.

It is not a de Polignac number, because 420205233 - 21 = 420205231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (420205231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15991 + ... + 33107.

It is an arithmetic number, because the mean of its divisors is an integer number (27320328).

Almost surely, 2420205233 is an apocalyptic number.

It is an amenable number.

420205233 is a deficient number, since it is larger than the sum of its proper divisors (235482639).

420205233 is a wasteful number, since it uses less digits than its factorization.

420205233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17301 (or 17294 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 420205233 is about 20498.9080928717. The cubic root of 420205233 is about 749.0092001083.

Adding to 420205233 its reverse (332502024), we get a palindrome (752707257).

The spelling of 420205233 in words is "four hundred twenty million, two hundred five thousand, two hundred thirty-three".

Divisors: 1 3 7 21 49 147 167 501 1169 3507 8183 17117 24549 51351 119819 359457 838733 2516199 2858539 8575617 20009773 60029319 140068411 420205233