Search a number
-
+
213500952 = 23327371072
BaseRepresentation
bin11001011100111…
…00010000011000
3112212201222020200
430232130100120
5414124012302
633104022200
75201504520
oct1456342030
9485658220
10213500952
11aa574475
125b601960
1335303532
14204d8680
1513b2481c
hexcb9c418

213500952 has 144 divisors (see below), whose sum is σ = 685098960. Its totient is φ = 58796928.

The previous prime is 213500941. The next prime is 213501007. The reversal of 213500952 is 259005312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1995283 + ... + 1995389.

Almost surely, 2213500952 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 213500952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342549480).

213500952 is an abundant number, since it is smaller than the sum of its proper divisors (471598008).

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

213500952 is a wasteful number, since it uses less digits than its factorization.

213500952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 213500952 is about 14611.6717729355. The cubic root of 213500952 is about 597.6770850494.

The spelling of 213500952 in words is "two hundred thirteen million, five hundred thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 107 111 126 148 168 214 222 252 259 296 321 333 428 444 504 518 642 666 749 777 856 888 963 1036 1284 1332 1498 1554 1926 2072 2247 2331 2568 2664 2996 3108 3852 3959 4494 4662 5992 6216 6741 7704 7918 8988 9324 11449 11877 13482 15836 17976 18648 22898 23754 26964 27713 31672 34347 35631 45796 47508 53928 55426 68694 71262 80143 83139 91592 95016 103041 110852 137388 142524 160286 166278 206082 221704 240429 249417 274776 285048 320572 332556 412164 423613 480858 498834 641144 665112 721287 824328 847226 961716 997668 1270839 1442574 1694452 1923432 1995336 2541678 2885148 2965291 3388904 3812517 5083356 5770296 5930582 7625034 8895873 10166712 11861164 15250068 17791746 23722328 26687619 30500136 35583492 53375238 71166984 106750476 213500952