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215115346212 = 223133757796449
BaseRepresentation
bin1100100001010111011…
…1111011000100100100
3202120020202110211102220
43020111313323010210
512011024012034322
6242453404232340
721353521162524
oct3102567730444
9676222424386
10215115346212
1183259006568
123583583b6b0
1317392a22b10
14a5a976d684
1558e047055c
hex3215dfb124

215115346212 has 96 divisors (see below), whose sum is σ = 555337776000. Its totient is φ = 64379308032.

The previous prime is 215115346207. The next prime is 215115346223. The reversal of 215115346212 is 212643511512.

215115346212 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 2×2151153462122 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 33353164 + ... + 33359612.

It is an arithmetic number, because the mean of its divisors is an integer number (5784768500).

Almost surely, 2215115346212 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 215115346212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277668888000).

215115346212 is an abundant number, since it is smaller than the sum of its proper divisors (340222429788).

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

215115346212 is a wasteful number, since it uses less digits than its factorization.

215115346212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12285 (or 12283 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

Adding to 215115346212 its reverse (212643511512), we get a palindrome (427758857724).

The spelling of 215115346212 in words is "two hundred fifteen billion, one hundred fifteen million, three hundred forty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 5772 5779 6449 11558 12898 17337 19347 23116 25796 34674 38694 69348 75127 77388 83837 150254 167674 213823 225381 238613 251511 300508 335348 427646 450762 477226 503022 641469 715839 855292 901524 954452 1006044 1282938 1431678 2565876 2779699 2863356 3101969 5559398 6203938 8339097 9305907 11118796 12407876 16678194 18611814 33356388 37223628 37268771 74537542 111806313 149075084 223612626 447225252 484494023 968988046 1378944527 1453482069 1937976092 2757889054 2906964138 4136833581 5515778108 5813928276 8273667162 16547334324 17926278851 35852557702 53778836553 71705115404 107557673106 215115346212