Search a number
-
+
213382464 = 26319292017
BaseRepresentation
bin11001011011111…
…11010101000000
3112212111221201020
430231333111000
5414111214324
633101305440
75200502211
oct1455772500
9485457636
10213382464
11aa4a3449
125b565280
1335291619
14204a7408
1513aee679
hexcb7f540

213382464 has 112 divisors (see below), whose sum is σ = 615086400. Its totient is φ = 65028096.

The previous prime is 213382447. The next prime is 213382489. The reversal of 213382464 is 464283312.

It is a super-2 number, since 2×2133824642 = 91064151885422592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104784 + ... + 106800.

Almost surely, 2213382464 is an apocalyptic number.

213382464 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 213382464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307543200).

213382464 is an abundant number, since it is smaller than the sum of its proper divisors (401703936).

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

213382464 is a wasteful number, since it uses less digits than its factorization.

213382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2070 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 213382464 is about 14607.6166433816. The cubic root of 213382464 is about 597.5664990207.

The spelling of 213382464 in words is "two hundred thirteen million, three hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 152 174 192 228 232 304 348 456 464 551 608 696 912 928 1102 1216 1392 1653 1824 1856 2017 2204 2784 3306 3648 4034 4408 5568 6051 6612 8068 8816 12102 13224 16136 17632 24204 26448 32272 35264 38323 48408 52896 58493 64544 76646 96816 105792 114969 116986 129088 153292 175479 193632 229938 233972 306584 350958 387264 459876 467944 613168 701916 919752 935888 1111367 1226336 1403832 1839504 1871776 2222734 2452672 2807664 3334101 3679008 3743552 4445468 5615328 6668202 7358016 8890936 11230656 13336404 17781872 26672808 35563744 53345616 71127488 106691232 213382464