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214222351003432 = 231929123139478909
BaseRepresentation
bin110000101101010110000111…
…001000100110111100101000
31001002111110022222012022111021
4300231112013020212330220
5211034304333324102212
62035340220042142224
763060024363224452
oct6055260710467450
91032443288168437
10214222351003432
11622922094158a2
1220039887ab1974
13926c108ccbac5
143ac85ba7a32d2
1519b7635776307
hexc2d587226f28

214222351003432 has 64 divisors (see below), whose sum is σ = 437742154080000. Its totient is φ = 97895058589440.

The previous prime is 214222351003429. The next prime is 214222351003433. The reversal of 214222351003432 is 234300153222412.

It is a super-3 number, since 3×2142223510034323 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (214222351003433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14313207 + ... + 25165702.

It is an arithmetic number, because the mean of its divisors is an integer number (6839721157500).

Almost surely, 2214222351003432 is an apocalyptic number.

It is an amenable number.

214222351003432 is an abundant number, since it is smaller than the sum of its proper divisors (223519803076568).

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

214222351003432 is a wasteful number, since it uses less digits than its factorization.

214222351003432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39480194 (or 39480190 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 214222351003432 in words is "two hundred fourteen trillion, two hundred twenty-two billion, three hundred fifty-one million, three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 19 29 38 58 76 116 152 232 551 1102 1231 2204 2462 4408 4924 9848 23389 35699 46778 71398 93556 142796 187112 285592 678281 1356562 2713124 5426248 39478909 78957818 157915636 315831272 750099271 1144888361 1500198542 2289776722 3000397084 4579553444 6000794168 9159106888 21752878859 43505757718 48598536979 87011515436 97197073958 174023030872 194394147916 388788295832 923372202601 1409357572391 1846744405202 2818715144782 3693488810404 5637430289564 7386977620808 11274860579128 26777793875429 53555587750858 107111175501716 214222351003432