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212254442652 = 22376754768947
BaseRepresentation
bin1100010110101101011…
…0011100010010011100
3202021212101011212112210
43011223112130102130
511434144114131102
6241301445200420
721222601665030
oct3055326342234
9667771155483
10212254442652
118202011035a
1235177700110
13170280c0585
14a3b78141c0
1557c420536c
hex316b59c49c

212254442652 has 96 divisors (see below), whose sum is σ = 575518332928. Its totient is φ = 59628913344.

The previous prime is 212254442629. The next prime is 212254442657. The reversal of 212254442652 is 256244452212.

212254442652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122544426522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212254442652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212254442657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3044043 + ... + 3112989.

Almost surely, 2212254442652 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 212254442652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287759166464).

212254442652 is an abundant number, since it is smaller than the sum of its proper divisors (363263890276).

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

212254442652 is a wasteful number, since it uses less digits than its factorization.

212254442652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69575 (or 69573 counting only the distinct ones).

The product of its digits is 307200, while the sum is 39.

Adding to 212254442652 its reverse (256244452212), we get a palindrome (468498894864).

The spelling of 212254442652 in words is "two hundred twelve billion, two hundred fifty-four million, four hundred forty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 547 804 938 1094 1407 1641 1876 2188 2814 3282 3829 5628 6564 7658 11487 15316 22974 36649 45948 68947 73298 109947 137894 146596 206841 219894 256543 275788 413682 439788 482629 513086 769629 827364 965258 1026172 1447887 1539258 1930516 2895774 3078516 4619449 5791548 9238898 13858347 18477796 27716694 32336143 37714009 55433388 64672286 75428018 97008429 113142027 129344572 150856036 194016858 226284054 263998063 388033716 452568108 527996126 791994189 1055992252 1583988378 2526838603 3167976756 5053677206 7580515809 10107354412 15161031618 17687870221 30322063236 35375740442 53063610663 70751480884 106127221326 212254442652