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213214104 = 23324172227
BaseRepresentation
bin11001011010101…
…10001110011000
3112212012101202200
430231112032120
5414040322404
633053530200
75166201315
oct1455261630
9485171680
10213214104
11aa398a04
125b4a3960
1335232abc
1420461d0c
1513ab9839
hexcb56398

213214104 has 48 divisors (see below), whose sum is σ = 591547320. Its totient is φ = 69336960.

The previous prime is 213214103. The next prime is 213214109. The reversal of 213214104 is 401412312.

213214104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213214103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33162 + ... + 39065.

Almost surely, 2213214104 is an apocalyptic number.

213214104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213214104 is an abundant number, since it is smaller than the sum of its proper divisors (378333216).

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

213214104 is a wasteful number, since it uses less digits than its factorization.

213214104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72280 (or 72273 counting only the distinct ones).

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

The square root of 213214104 is about 14601.8527591535. The cubic root of 213214104 is about 597.4092965260.

Adding to 213214104 its reverse (401412312), we get a palindrome (614626416).

It can be divided in two parts, 21321 and 4104, that added together give a triangular number (25425 = T225).

The spelling of 213214104 in words is "two hundred thirteen million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 72227 144454 216681 288908 433362 577816 650043 866724 1300086 1733448 2600172 2961307 5200344 5922614 8883921 11845228 17767842 23690456 26651763 35535684 53303526 71071368 106607052 213214104