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20223312 = 2433759193
BaseRepresentation
bin100110100100…
…1010101010000
31102001110011120
41031021111100
520134121222
62001242240
7333616044
oct115112520
942043146
1020223312
111046308a
126933380
134260c75
142986024
151b9715c
hex1349550

20223312 has 80 divisors (see below), whose sum is σ = 54847680. Its totient is φ = 6414336.

The previous prime is 20223283. The next prime is 20223341. The reversal of 20223312 is 21332202.

It is an interprime number because it is at equal distance from previous prime (20223283) and next prime (20223341).

It is a junction number, because it is equal to n+sod(n) for n = 20223291 and 20223300.

It is a congruent number.

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, 104688 + ... + 104880.

It is an arithmetic number, because the mean of its divisors is an integer number (685596).

Almost surely, 220223312 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 20223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27423840).

20223312 is an abundant number, since it is smaller than the sum of its proper divisors (34624368).

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

20223312 is a wasteful number, since it uses less digits than its factorization.

20223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20223312 is about 4497.0336889999. The cubic root of 20223312 is about 272.4482947658.

Adding to 20223312 its reverse (21332202), we get a palindrome (41555514).

The spelling of 20223312 in words is "twenty million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 59 74 111 118 148 177 193 222 236 296 354 386 444 472 579 592 708 772 888 944 1158 1416 1544 1776 2183 2316 2832 3088 4366 4632 6549 7141 8732 9264 11387 13098 14282 17464 21423 22774 26196 28564 34161 34928 42846 45548 52392 57128 68322 85692 91096 104784 114256 136644 171384 182192 273288 342768 421319 546576 842638 1263957 1685276 2527914 3370552 5055828 6741104 10111656 20223312