Search a number
-
+
217141209372 = 223175471945919
BaseRepresentation
bin1100101000111010011…
…1111110100100011100
3202202110221111100020210
43022032213332210130
512024201122144442
6243430413412420
721454650553233
oct3121647764434
9682427440223
10217141209372
11840a860853a
123610019a110
1317626654209
14a71c83bb1a
1559ad24119c
hex328e9fe91c

217141209372 has 48 divisors (see below), whose sum is σ = 537447536640. Its totient is φ = 67998158592.

The previous prime is 217141209359. The next prime is 217141209401. The reversal of 217141209372 is 273902141712.

It is a happy number.

217141209372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 217141209372.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861372 + ... + 1084547.

It is an arithmetic number, because the mean of its divisors is an integer number (11196823680).

Almost surely, 2217141209372 is an apocalyptic number.

It is an amenable number.

217141209372 is an abundant number, since it is smaller than the sum of its proper divisors (320306327268).

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

217141209372 is a wasteful number, since it uses less digits than its factorization.

217141209372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946490 (or 1946488 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 217141209372 in words is "two hundred seventeen billion, one hundred forty-one million, two hundred nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 547 1094 1641 2188 3282 6564 9299 18598 27897 37196 55794 111588 1945919 3891838 5837757 7783676 11675514 23351028 33080623 66161246 99241869 132322492 198483738 396967476 1064417693 2128835386 3193253079 4257670772 6386506158 12773012316 18095100781 36190201562 54285302343 72380403124 108570604686 217141209372