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214310412 = 223223475507
BaseRepresentation
bin11001100011000…
…01111000001100
3112221021002121200
430301201320030
5414330413122
633133225500
75211415461
oct1461417014
9487232550
10214310412
11aaa77648
125b932290
1335527ac4
1420669668
1513c345ac
hexcc61e0c

214310412 has 72 divisors (see below), whose sum is σ = 577414656. Its totient is φ = 66864864.

The previous prime is 214310387. The next prime is 214310419. The reversal of 214310412 is 214013412.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (214310419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36163 + ... + 41669.

It is an arithmetic number, because the mean of its divisors is an integer number (8019648).

Almost surely, 2214310412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214310412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288707328).

214310412 is an abundant number, since it is smaller than the sum of its proper divisors (363104244).

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

214310412 is a wasteful number, since it uses less digits than its factorization.

214310412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214310412 is about 14639.3446574633. The cubic root of 214310412 is about 598.4314697613.

Adding to 214310412 its reverse (214013412), we get a palindrome (428323824).

The spelling of 214310412 in words is "two hundred fourteen million, three hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 47 69 92 94 138 141 188 207 276 282 414 423 564 828 846 1081 1692 2162 3243 4324 5507 6486 9729 11014 12972 16521 19458 22028 33042 38916 49563 66084 99126 126661 198252 253322 258829 379983 506644 517658 759966 776487 1035316 1139949 1519932 1552974 2279898 2329461 3105948 4559796 4658922 5953067 9317844 11906134 17859201 23812268 35718402 53577603 71436804 107155206 214310412