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20233416 = 2337294153
BaseRepresentation
bin100110100101…
…1110011001000
31102001222000210
41031023303020
520134432131
62001401120
7333660360
oct115136310
942058023
1020233416
111046a735
1269391a0
134265748
1429899a0
151b9a146
hex134bcc8

20233416 has 64 divisors (see below), whose sum is σ = 59817600. Its totient is φ = 5580288.

The previous prime is 20233363. The next prime is 20233427. The reversal of 20233416 is 61433202.

It is a happy number.

It is a super-2 number, since 2×202334162 = 818782246058112, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20233392 and 20233401.

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, 2796 + ... + 6948.

It is an arithmetic number, because the mean of its divisors is an integer number (934650).

Almost surely, 220233416 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 20233416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29908800).

20233416 is an abundant number, since it is smaller than the sum of its proper divisors (39584184).

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

20233416 is a wasteful number, since it uses less digits than its factorization.

20233416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4194 counting only the distinct ones).

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

The square root of 20233416 is about 4498.1569559098. The cubic root of 20233416 is about 272.4936608799.

Adding to 20233416 its reverse (61433202), we get a palindrome (81666618).

The spelling of 20233416 in words is "twenty million, two hundred thirty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4153 4872 8306 12459 16612 24918 29071 33224 49836 58142 87213 99672 116284 120437 174426 232568 240874 348852 361311 481748 697704 722622 843059 963496 1445244 1686118 2529177 2890488 3372236 5058354 6744472 10116708 20233416