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214203402 = 232722111151
BaseRepresentation
bin11001100010001…
…11110000001010
3112221001122211100
430301013300022
5414314002102
633131042230
75210461500
oct1461076012
9487048740
10214203402
11aaa04206
125b8a0376
13354bb19a
142063c670
1513c12a1c
hexcc47c0a

214203402 has 72 divisors (see below), whose sum is σ = 542909952. Its totient is φ = 60858000.

The previous prime is 214203377. The next prime is 214203403. The reversal of 214203402 is 204302412.

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

It is not an unprimeable number, because it can be changed into a prime (214203403) 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, 185527 + ... + 186677.

It is an arithmetic number, because the mean of its divisors is an integer number (7540416).

Almost surely, 2214203402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214203402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271454976).

214203402 is an abundant number, since it is smaller than the sum of its proper divisors (328706550).

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

214203402 is a wasteful number, since it uses less digits than its factorization.

214203402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214203402 is about 14635.6893243878. The cubic root of 214203402 is about 598.3318497561.

Adding to 214203402 its reverse (204302412), we get a palindrome (418505814).

The spelling of 214203402 in words is "two hundred fourteen million, two hundred three thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 211 294 422 441 633 882 1151 1266 1477 1899 2302 2954 3453 3798 4431 6906 8057 8862 10339 10359 13293 16114 20678 20718 24171 26586 31017 48342 56399 62034 72513 93051 112798 145026 169197 186102 242861 338394 485722 507591 728583 1015182 1457166 1700027 2185749 3400054 4371498 5100081 10200162 11900189 15300243 23800378 30600486 35700567 71401134 107101701 214203402