Search a number
-
+
21302232 = 23372337149
BaseRepresentation
bin101000101000…
…0101111011000
31111002021011120
41101100233120
520423132412
62040325240
7346031430
oct121205730
944067146
1021302232
111102a756
127173820
13454b093
142b872c0
151d0bb8c
hex1450bd8

21302232 has 128 divisors (see below), whose sum is σ = 65664000. Its totient is φ = 5626368.

The previous prime is 21302227. The next prime is 21302251. The reversal of 21302232 is 23220312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142894 + ... + 143042.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 221302232 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 21302232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32832000).

21302232 is an abundant number, since it is smaller than the sum of its proper divisors (44361768).

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

21302232 is a wasteful number, since it uses less digits than its factorization.

21302232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

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

The square root of 21302232 is about 4615.4341074269. The cubic root of 21302232 is about 277.2096663150.

Adding to 21302232 its reverse (23220312), we get a palindrome (44522544).

It can be divided in two parts, 21 and 302232, that added together give a triangular number (302253 = T777).

The spelling of 21302232 in words is "twenty-one million, three hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 37 42 46 56 69 74 84 92 111 138 148 149 161 168 184 222 259 276 296 298 322 444 447 483 518 552 596 644 777 851 888 894 966 1036 1043 1192 1288 1554 1702 1788 1932 2072 2086 2553 3108 3129 3404 3427 3576 3864 4172 5106 5513 5957 6216 6258 6808 6854 8344 10212 10281 11026 11914 12516 13708 16539 17871 20424 20562 22052 23828 23989 25032 27416 33078 35742 38591 41124 44104 47656 47978 66156 71484 71967 77182 82248 95956 115773 126799 132312 142968 143934 154364 191912 231546 253598 287868 308728 380397 463092 507196 575736 760794 887593 926184 1014392 1521588 1775186 2662779 3043176 3550372 5325558 7100744 10651116 21302232