Search a number
-
+
21323232 = 2532721511
BaseRepresentation
bin101000101010…
…1110111100000
31111010022222100
41101111313200
520424320412
62041010400
7346146600
oct121256740
944108870
1021323232
1111044507
127183a00
1345577c8
142b90c00
151d12edc
hex1455de0

21323232 has 108 divisors (see below), whose sum is σ = 70584696. Its totient is φ = 6088320.

The previous prime is 21323209. The next prime is 21323261. The reversal of 21323232 is 23232312.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13357 + ... + 14867.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 221323232 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 21323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35292348).

21323232 is an abundant number, since it is smaller than the sum of its proper divisors (49261464).

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

21323232 is a wasteful number, since it uses less digits than its factorization.

21323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1523 counting only the distinct ones).

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

The square root of 21323232 is about 4617.7085226333. The cubic root of 21323232 is about 277.3007286210.

Adding to 21323232 its reverse (23232312), we get a palindrome (44555544).

The spelling of 21323232 in words is "twenty-one million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1511 1568 1764 2016 2352 3022 3528 4533 4704 6044 7056 9066 10577 12088 13599 14112 18132 21154 24176 27198 31731 36264 42308 48352 54396 63462 72528 74039 84616 95193 108792 126924 145056 148078 169232 190386 217584 222117 253848 296156 338464 380772 435168 444234 507696 592312 666351 761544 888468 1015392 1184624 1332702 1523088 1776936 2369248 2665404 3046176 3553872 5330808 7107744 10661616 21323232