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214701318 = 232132163433
BaseRepresentation
bin11001100110000…
…01010100000110
3112221222221211200
430303001110012
5414430420233
633145443330
75214634236
oct1463012406
9487887750
10214701318
11100214307
125baa0546
1335633a00
142072bcc6
1513cb0313
hexccc1506

214701318 has 72 divisors (see below), whose sum is σ = 507983112. Its totient is φ = 65505024.

The previous prime is 214701293. The next prime is 214701341. The reversal of 214701318 is 813107412.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214701291 and 214701300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 495630 + ... + 496062.

It is an arithmetic number, because the mean of its divisors is an integer number (7055321).

Almost surely, 2214701318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214701318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253991556).

214701318 is an abundant number, since it is smaller than the sum of its proper divisors (293281794).

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

214701318 is a wasteful number, since it uses less digits than its factorization.

214701318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 214701318 is about 14652.6897872029. The cubic root of 214701318 is about 598.7950986409.

The spelling of 214701318 in words is "two hundred fourteen million, seven hundred one thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 163 169 234 326 338 433 489 507 866 978 1014 1299 1467 1521 2119 2598 2934 3042 3897 4238 5629 6357 7794 11258 12714 16887 19071 27547 33774 38142 50661 55094 70579 73177 82641 101322 141158 146354 165282 211737 219531 247923 423474 439062 495846 635211 658593 917527 1270422 1317186 1835054 2752581 5505162 8257743 11927851 16515486 23855702 35783553 71567106 107350659 214701318