Search a number
-
+
212987808 = 25321167231
BaseRepresentation
bin11001011000111…
…10111110100000
3112211202220100100
430230132332200
5414011102213
633045022400
75164236465
oct1454367640
9484686310
10212987808
11aa253990
125b3b4a00
1335183ab7
142040366c
1513a72773
hexcb1efa0

212987808 has 72 divisors (see below), whose sum is σ = 660756096. Its totient is φ = 64540800.

The previous prime is 212987771. The next prime is 212987809. The reversal of 212987808 is 808789212.

It is a happy number.

212987808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (212987809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30448 + ... + 36783.

It is an arithmetic number, because the mean of its divisors is an integer number (9177168).

Almost surely, 2212987808 is an apocalyptic number.

It is an amenable number.

212987808 is an abundant number, since it is smaller than the sum of its proper divisors (447768288).

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

212987808 is a wasteful number, since it uses less digits than its factorization.

212987808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67258 (or 67247 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 212987808 is about 14594.1018223116. The cubic root of 212987808 is about 597.1978671247.

The spelling of 212987808 in words is "two hundred twelve million, nine hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 67231 134462 201693 268924 403386 537848 605079 739541 806772 1075696 1210158 1479082 1613544 2151392 2218623 2420316 2958164 3227088 4437246 4840632 5916328 6454176 6655869 8874492 9681264 11832656 13311738 17748984 19362528 23665312 26623476 35497968 53246952 70995936 106493904 212987808