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214240104 = 233213435323
BaseRepresentation
bin11001100010100…
…00101101101000
3112221010112011200
430301100231220
5414321140404
633131524200
75211003501
oct1461205550
9487115150
10214240104
11aaa29841
125b8b9660
1335501ac0
142064bba8
1513c1d839
hexcc50b68

214240104 has 96 divisors (see below), whose sum is σ = 639518880. Its totient is φ = 64374912.

The previous prime is 214240099. The next prime is 214240123. The reversal of 214240104 is 401042412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37587 + ... + 42909.

It is an arithmetic number, because the mean of its divisors is an integer number (6661655).

Almost surely, 2214240104 is an apocalyptic number.

214240104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214240104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319759440).

214240104 is an abundant number, since it is smaller than the sum of its proper divisors (425278776).

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

214240104 is a wasteful number, since it uses less digits than its factorization.

214240104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5391 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214240104 is about 14636.9431234804. The cubic root of 214240104 is about 598.3660208932.

Adding to 214240104 its reverse (401042412), we get a palindrome (615282516).

The spelling of 214240104 in words is "two hundred fourteen million, two hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 258 312 344 387 468 516 559 774 936 1032 1118 1548 1677 2236 3096 3354 4472 5031 5323 6708 10062 10646 13416 15969 20124 21292 31938 40248 42584 47907 63876 69199 95814 127752 138398 191628 207597 228889 276796 383256 415194 457778 553592 622791 686667 830388 915556 1245582 1373334 1660776 1831112 2060001 2491164 2746668 2975557 4120002 4982328 5493336 5951114 8240004 8926671 11902228 16480008 17853342 23804456 26780013 35706684 53560026 71413368 107120052 214240104