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214450353 = 32132277509
BaseRepresentation
bin11001100100001…
…00000010110001
3112221112012120200
430302010002301
5414344402403
633140225413
75212540455
oct1462040261
9487465520
10214450353
111000627a7
125b99b269
1335576700
14206a4665
1513c60ca3
hexcc840b1

214450353 has 36 divisors (see below), whose sum is σ = 337294620. Its totient is φ = 131234688.

The previous prime is 214450339. The next prime is 214450391. The reversal of 214450353 is 353054412.

It can be written as a sum of positive squares in 6 ways, for example, as 32524209 + 181926144 = 5703^2 + 13488^2 .

It is not a de Polignac number, because 214450353 - 26 = 214450289 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214450553) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 421063 + ... + 421571.

It is an arithmetic number, because the mean of its divisors is an integer number (9369295).

Almost surely, 2214450353 is an apocalyptic number.

It is an amenable number.

214450353 is a deficient number, since it is larger than the sum of its proper divisors (122844267).

214450353 is a wasteful number, since it uses less digits than its factorization.

214450353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 214450353 is about 14644.1234971575. The cubic root of 214450353 is about 598.5616965604.

The spelling of 214450353 in words is "two hundred fourteen million, four hundred fifty thousand, three hundred fifty-three".

Divisors: 1 3 9 13 39 117 169 277 507 509 831 1521 1527 2493 3601 4581 6617 10803 19851 32409 46813 59553 86021 140439 140993 258063 421317 422979 774189 1268937 1832909 5498727 16496181 23827817 71483451 214450353