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20314332 = 223237101151
BaseRepresentation
bin100110101111…
…1100011011100
31102020002000200
41031133203130
520200024312
62003223500
7334445313
oct115374334
942202020
1020314332
1110515505
126977b90
13429351c
1429ab27a
151bb40dc
hex135f8dc

20314332 has 72 divisors (see below), whose sum is σ = 53612832. Its totient is φ = 6480000.

The previous prime is 20314321. The next prime is 20314351. The reversal of 20314332 is 23341302.

20314332 is a `hidden beast` number, since 20 + 314 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134457 + ... + 134607.

Almost surely, 220314332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26806416).

20314332 is an abundant number, since it is smaller than the sum of its proper divisors (33298500).

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

20314332 is a wasteful number, since it uses less digits than its factorization.

20314332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 20314332 is about 4507.1423318994. The cubic root of 20314332 is about 272.8564233157.

Adding to 20314332 its reverse (23341302), we get a palindrome (43655634).

It can be divided in two parts, 203 and 14332, that added together give a triangular number (14535 = T170).

The spelling of 20314332 in words is "twenty million, three hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 151 202 222 302 303 333 404 444 453 604 606 666 906 909 1212 1332 1359 1812 1818 2718 3636 3737 5436 5587 7474 11174 11211 14948 15251 16761 22348 22422 30502 33522 33633 44844 45753 50283 61004 67044 67266 91506 100566 134532 137259 183012 201132 274518 549036 564287 1128574 1692861 2257148 3385722 5078583 6771444 10157166 20314332