[go: up one dir, main page]

Search a number
-
+
213191472 = 24313241641
BaseRepresentation
bin11001011010100…
…00101100110000
3112212011020201110
430231100230300
5414034111342
633053233320
75166045324
oct1455205460
9485136643
10213191472
11aa3829aa
125b492840
1335225700
1420457984
1513ab2c9c
hexcb50b30

213191472 has 120 divisors (see below), whose sum is σ = 611867088. Its totient is φ = 63897600.

The previous prime is 213191423. The next prime is 213191477. The reversal of 213191472 is 274191312.

It is a super-3 number, since 3×2131914723 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213191477) 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, 332272 + ... + 332912.

Almost surely, 2213191472 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 213191472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305933544).

213191472 is an abundant number, since it is smaller than the sum of its proper divisors (398675616).

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

213191472 is a wasteful number, since it uses less digits than its factorization.

213191472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 700 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 213191472 is about 14601.0777684389. The cubic root of 213191472 is about 597.3881580782.

It can be divided in two parts, 21319 and 1472, that added together give a triangular number (22791 = T213).

The spelling of 213191472 in words is "two hundred thirteen million, one hundred ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 169 208 246 312 328 338 492 507 533 624 641 656 676 984 1014 1066 1282 1352 1599 1923 1968 2028 2132 2564 2704 3198 3846 4056 4264 5128 6396 6929 7692 8112 8333 8528 10256 12792 13858 15384 16666 20787 24999 25584 26281 27716 30768 33332 41574 49998 52562 55432 66664 78843 83148 99996 105124 108329 110864 133328 157686 166296 199992 210248 216658 315372 324987 332592 341653 399984 420496 433316 630744 649974 683306 866632 1024959 1261488 1299948 1366612 1733264 2049918 2599896 2733224 4099836 4441489 5199792 5466448 8199672 8882978 13324467 16399344 17765956 26648934 35531912 53297868 71063824 106595736 213191472