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214488378 = 233132191237
BaseRepresentation
bin11001100100011…
…01010100111010
3112221121010202000
430302031110322
5414402112003
633141121430
75213056356
oct1462152472
9487533660
10214488378
11100089325
125b9b9276
133558ab00
14206b4466
1513c6c1a3
hexcc8d53a

214488378 has 96 divisors (see below), whose sum is σ = 543729600. Its totient is φ = 62472384.

The previous prime is 214488377. The next prime is 214488389. The reversal of 214488378 is 873884412.

214488378 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214488377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172776 + ... + 174012.

It is an arithmetic number, because the mean of its divisors is an integer number (5663850).

Almost surely, 2214488378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214488378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271864800).

214488378 is an abundant number, since it is smaller than the sum of its proper divisors (329241222).

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

214488378 is a wasteful number, since it uses less digits than its factorization.

214488378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1274 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 214488378 is about 14645.4217419643. The cubic root of 214488378 is about 598.5970722128.

The spelling of 214488378 in words is "two hundred fourteen million, four hundred eighty-eight thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 169 171 234 247 338 342 351 494 507 513 702 741 1014 1026 1237 1482 1521 2223 2474 3042 3211 3711 4446 4563 6422 6669 7422 9126 9633 11133 13338 16081 19266 22266 23503 28899 32162 33399 47006 48243 57798 66798 70509 86697 96486 141018 144729 173394 209053 211527 289458 305539 418106 423054 434187 611078 627159 634581 868374 916617 1254318 1269162 1833234 1881477 2749851 3762954 3972007 5499702 5644431 7944014 8249553 11288862 11916021 16499106 23832042 35748063 71496126 107244189 214488378