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214102460 = 225111374861
BaseRepresentation
bin11001100001011…
…11000110111100
3112220212112100202
430300233012330
5414302234320
633124543032
75206561265
oct1460570674
9486775322
10214102460
11aa945390
125b851a78
1335484260
142061396c
1513be2b75
hexcc2f1bc

214102460 has 48 divisors (see below), whose sum is σ = 528226272. Its totient is φ = 71865600.

The previous prime is 214102459. The next prime is 214102463. The reversal of 214102460 is 64201412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214102463) 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, 34571 + ... + 40290.

It is an arithmetic number, because the mean of its divisors is an integer number (11004714).

Almost surely, 2214102460 is an apocalyptic number.

214102460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214102460 is an abundant number, since it is smaller than the sum of its proper divisors (314123812).

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

214102460 is a wasteful number, since it uses less digits than its factorization.

214102460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74894 (or 74892 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 214102460 is about 14632.2404299547. The cubic root of 214102460 is about 598.2378482872.

Adding to 214102460 its reverse (64201412), we get a palindrome (278303872).

The spelling of 214102460 in words is "two hundred fourteen million, one hundred two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 74861 149722 299444 374305 748610 823471 973193 1497220 1646942 1946386 3293884 3892772 4117355 4865965 8234710 9731930 10705123 16469420 19463860 21410246 42820492 53525615 107051230 214102460