Search a number
-
+
332212013000214 = 23316167181435839
BaseRepresentation
bin100101110001001010010001…
…1000001100110011000010110
31121120021011021101100112002120
41023202110203001212120112
5322020430200312001324
63134320031502520410
7126655345243351524
oct11342244301463026
91546234241315076
10332212013000214
1196942361653406
1231314ab6b96106
131134a5c6161439
145c0720bd97314
1528618e4527179
hex12e2523066616

332212013000214 has 64 divisors (see below), whose sum is σ = 697112593367040. Its totient is φ = 105406548624000.

The previous prime is 332212013000213. The next prime is 332212013000227. The reversal of 332212013000214 is 412000310212233.

It is a super-2 number, since 2×3322120130002142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332212013000213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762017707 + ... + 762453545.

It is an arithmetic number, because the mean of its divisors is an integer number (10892384271360).

Almost surely, 2332212013000214 is an apocalyptic number.

332212013000214 is an abundant number, since it is smaller than the sum of its proper divisors (364900580366826).

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

332212013000214 is a wasteful number, since it uses less digits than its factorization.

332212013000214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503117.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 332212013000214 its reverse (412000310212233), we get a palindrome (744212323212447).

The spelling of 332212013000214 in words is "three hundred thirty-two trillion, two hundred twelve billion, thirteen million, two hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 31 61 62 93 122 183 186 366 1891 3782 5673 11346 67181 134362 201543 403086 435839 871678 1307517 2082611 2615034 4098041 4165222 6247833 8196082 12294123 12495666 13511009 24588246 26586179 27022018 40533027 53172358 79758537 81066054 127039271 159517074 254078542 381117813 762235626 824171549 1648343098 2472514647 4945029294 29280099859 58560199718 87840299577 175680599154 907683095629 1786086091399 1815366191258 2723049286887 3572172182798 5358258274197 5446098573774 10716516548394 55368668833369 110737337666738 166106006500107 332212013000214