Search a number
-
+
21122262 = 23371719173
BaseRepresentation
bin101000010010…
…0110011010110
31110202010022000
41100210303112
520401403022
62032420130
7344351640
oct120446326
943663260
1021122262
1110a17517
1270a7646
1344b71a5
142b3b890
151cc36ac
hex1424cd6

21122262 has 128 divisors (see below), whose sum is σ = 60134400. Its totient is φ = 5349888.

The previous prime is 21122251. The next prime is 21122267. The reversal of 21122262 is 26222112.

It is a super-2 number, since 2×211222622 = 892299903993288, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (21122267) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 122008 + ... + 122180.

It is an arithmetic number, because the mean of its divisors is an integer number (469800).

Almost surely, 221122262 is an apocalyptic number.

21122262 is the 2907-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30067200).

21122262 is an abundant number, since it is smaller than the sum of its proper divisors (39012138).

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

21122262 is a wasteful number, since it uses less digits than its factorization.

21122262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 21122262 is about 4595.8962129274. The cubic root of 21122262 is about 276.4267971419.

Adding to 21122262 its reverse (26222112), we get a palindrome (47344374).

The spelling of 21122262 in words is "twenty-one million, one hundred twenty-two thousand, two hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 27 34 38 42 51 54 57 63 102 114 119 126 133 153 171 173 189 238 266 306 323 342 346 357 378 399 459 513 519 646 714 798 918 969 1026 1038 1071 1197 1211 1557 1938 2142 2261 2394 2422 2907 2941 3114 3213 3287 3591 3633 4522 4671 5814 5882 6426 6574 6783 7182 7266 8721 8823 9342 9861 10899 13566 17442 17646 19722 20349 20587 21798 23009 26469 29583 32697 40698 41174 46018 52938 55879 59166 61047 61761 65394 69027 79407 88749 111758 122094 123522 138054 158814 167637 177498 185283 207081 335274 370566 391153 414162 502911 555849 621243 782306 1005822 1111698 1173459 1242486 1508733 2346918 3017466 3520377 7040754 10561131 21122262