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20233164 = 2237793049
BaseRepresentation
bin100110100101…
…1101111001100
31102001221200110
41031023233030
520134430124
62001400020
7333656550
oct115135714
942057613
1020233164
111046a526
126939010
1342655b3
142989860
151b9a029
hex134bbcc

20233164 has 48 divisors (see below), whose sum is σ = 54656000. Its totient is φ = 5705856.

The previous prime is 20233163. The next prime is 20233181. The reversal of 20233164 is 46133202.

It is a happy number.

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

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 20233164.

It is not an unprimeable number, because it can be changed into a prime (20233163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5112 + ... + 8160.

Almost surely, 220233164 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 20233164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27328000).

20233164 is an abundant number, since it is smaller than the sum of its proper divisors (34422836).

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

20233164 is a wasteful number, since it uses less digits than its factorization.

20233164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 20233164 is about 4498.1289443501. The cubic root of 20233164 is about 272.4925296047.

Adding to 20233164 its reverse (46133202), we get a palindrome (66366366).

The spelling of 20233164 in words is "twenty million, two hundred thirty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3049 3318 6098 6636 9147 12196 18294 21343 36588 42686 64029 85372 128058 240871 256116 481742 722613 963484 1445226 1686097 2890452 3372194 5058291 6744388 10116582 20233164