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20233220 = 2257433361
BaseRepresentation
bin100110100101…
…1110000000100
31102001221202112
41031023300010
520134430340
62001400152
7333656660
oct115136004
942057675
1020233220
111046a577
126939058
134265627
1429898a0
151b9a065
hex134bc04

20233220 has 48 divisors (see below), whose sum is σ = 49703808. Its totient is φ = 6773760.

The previous prime is 20233207. The next prime is 20233231. The reversal of 20233220 is 2233202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20233195 and 20233204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4340 + ... + 7700.

It is an arithmetic number, because the mean of its divisors is an integer number (1035496).

Almost surely, 220233220 is an apocalyptic number.

20233220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24851904).

20233220 is an abundant number, since it is smaller than the sum of its proper divisors (29470588).

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

20233220 is a wasteful number, since it uses less digits than its factorization.

20233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 20233220 is about 4498.1351691562. The cubic root of 20233220 is about 272.4927810000.

Adding to 20233220 its reverse (2233202), we get a palindrome (22466422).

The spelling of 20233220 in words is "twenty million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 3361 6020 6722 13444 16805 23527 33610 47054 67220 94108 117635 144523 235270 289046 470540 578092 722615 1011661 1445230 2023322 2890460 4046644 5058305 10116610 20233220