Search a number
-
+
213197184 = 273420563
BaseRepresentation
bin11001011010100…
…10000110000000
3112212011112120000
430231102012000
5414034302214
633053320000
75166101064
oct1455220600
9485145500
10213197184
11aa387222
125b496000
13352281a5
1420459aa4
1513ab4809
hexcb52180

213197184 has 80 divisors (see below), whose sum is σ = 634502220. Its totient is φ = 71062272.

The previous prime is 213197113. The next prime is 213197191. The reversal of 213197184 is 481791312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 87 + ... + 20649.

Almost surely, 2213197184 is an apocalyptic number.

213197184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213197184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317251110).

213197184 is an abundant number, since it is smaller than the sum of its proper divisors (421305036).

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

213197184 is an equidigital number, since it uses as much as digits as its factorization.

213197184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20589 (or 20568 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 213197184 is about 14601.2733691278. The cubic root of 213197184 is about 597.3934932677.

The spelling of 213197184 in words is "two hundred thirteen million, one hundred ninety-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 20563 41126 61689 82252 123378 164504 185067 246756 329008 370134 493512 555201 658016 740268 987024 1110402 1316032 1480536 1665603 1974048 2220804 2632064 2961072 3331206 3948096 4441608 5922144 6662412 7896192 8883216 11844288 13324824 17766432 23688576 26649648 35532864 53299296 71065728 106598592 213197184