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21212532 = 2232111723137
BaseRepresentation
bin101000011101…
…0110101110100
31110220201010100
41100322311310
520412300112
62034354100
7345206055
oct120726564
943821110
1021212532
1110a79320
12712b930
1345192c3
142b6272c
151ce02dc
hex143ad74

21212532 has 144 divisors (see below), whose sum is σ = 65100672. Its totient is φ = 5744640.

The previous prime is 21212519. The next prime is 21212537. The reversal of 21212532 is 23521212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154768 + ... + 154904.

It is an arithmetic number, because the mean of its divisors is an integer number (452088).

Almost surely, 221212532 is an apocalyptic number.

21212532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32550336).

21212532 is an abundant number, since it is smaller than the sum of its proper divisors (43888140).

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

21212532 is a wasteful number, since it uses less digits than its factorization.

21212532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 193 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 21212532 is about 4605.7064604684. The cubic root of 21212532 is about 276.8200249749.

Adding to 21212532 its reverse (23521212), we get a palindrome (44733744).

The spelling of 21212532 in words is "twenty-one million, two hundred twelve thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 23 33 34 36 44 46 51 66 68 69 92 99 102 132 137 138 153 187 198 204 207 253 274 276 306 374 391 396 411 414 506 548 561 612 748 759 782 822 828 1012 1122 1173 1233 1507 1518 1564 1644 1683 2244 2277 2329 2346 2466 3014 3036 3151 3366 3519 4301 4521 4554 4658 4692 4932 6028 6302 6732 6987 7038 8602 9042 9108 9316 9453 12604 12903 13563 13974 14076 17204 18084 18906 20961 25619 25806 27126 27948 28359 34661 37812 38709 41922 51238 51612 53567 54252 56718 69322 76857 77418 83844 102476 103983 107134 113436 138644 153714 154836 160701 207966 214268 230571 307428 311949 321402 415932 461142 482103 589237 623898 642804 922284 964206 1178474 1247796 1767711 1928412 2356948 3535422 5303133 7070844 10606266 21212532