Search a number
-
+
212523692216 = 231131314275407
BaseRepresentation
bin1100010111101101100…
…1100011000010111000
3202022120010211011111212
43011323121203002320
511440222031122331
6241344304142252
721232351402133
oct3057331430270
9668503734455
10212523692216
11821490a1560
1235231907988
131706bb12944
14a4014a121a
1557dcb8cd2b
hex317b6630b8

212523692216 has 64 divisors (see below), whose sum is σ = 436482708480. Its totient is φ = 96207770880.

The previous prime is 212523692189. The next prime is 212523692267. The reversal of 212523692216 is 612296325212.

212523692216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39302585 + ... + 39307991.

It is an arithmetic number, because the mean of its divisors is an integer number (6820042320).

Almost surely, 2212523692216 is an apocalyptic number.

It is an amenable number.

212523692216 is an abundant number, since it is smaller than the sum of its proper divisors (223959016264).

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

212523692216 is a wasteful number, since it uses less digits than its factorization.

212523692216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7160 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The spelling of 212523692216 in words is "two hundred twelve billion, five hundred twenty-three million, six hundred ninety-two thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 313 626 1252 1427 2504 2854 3443 5407 5708 6886 10814 11416 13772 15697 21628 27544 31394 43256 59477 62788 118954 125576 237908 446651 475816 893302 1692391 1786604 3384782 3573208 4913161 6769564 7715789 9826322 13539128 15431578 18616301 19652644 30863156 37232602 39305288 61726312 74465204 84873679 148930408 169747358 339494716 678989432 2415041957 4830083914 9660167828 19320335656 26565461527 53130923054 106261846108 212523692216