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214020412 = 22177197457
BaseRepresentation
bin11001100000110…
…11000100111100
3112220201100210221
430300123010330
5414242123122
633123111124
75206100134
oct1460330474
9486640727
10214020412
11aa899781
125b8124a4
1335455ac8
14205d1ac4
1513bc86c7
hexcc1b13c

214020412 has 48 divisors (see below), whose sum is σ = 407187648. Its totient is φ = 98058240.

The previous prime is 214020349. The next prime is 214020439.

214020412 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468088 + ... + 468544.

It is an arithmetic number, because the mean of its divisors is an integer number (8483076).

Almost surely, 2214020412 is an apocalyptic number.

It is an amenable number.

214020412 is a deficient number, since it is larger than the sum of its proper divisors (193167236).

214020412 is a wasteful number, since it uses less digits than its factorization.

214020412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214020412 is about 14629.4364894893. The cubic root of 214020412 is about 598.1614199418.

The spelling of 214020412 in words is "two hundred fourteen million, twenty thousand, four hundred twelve".

Divisors: 1 2 4 17 34 68 71 97 142 194 284 388 457 914 1207 1649 1828 2414 3298 4828 6596 6887 7769 13774 15538 27548 31076 32447 44329 64894 88658 117079 129788 177316 234158 468316 551599 753593 1103198 1507186 2206396 3014372 3147359 6294718 12589436 53505103 107010206 214020412