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213065468 = 2271119231583
BaseRepresentation
bin11001011001100…
…01111011111100
3112211220211212122
430230301323330
5414021043333
633050422112
75165012060
oct1454617374
9484824778
10213065468
11aa2a7270
125b431938
13351b0255
1420423aa0
1513a8a798
hexcb31efc

213065468 has 96 divisors (see below), whose sum is σ = 510935040. Its totient is φ = 75176640.

The previous prime is 213065467. The next prime is 213065483. The reversal of 213065468 is 864560312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213065467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133805 + ... + 135387.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2213065468 is an apocalyptic number.

213065468 is a gapful number since it is divisible by the number (28) 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 213065468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255467520).

213065468 is an abundant number, since it is smaller than the sum of its proper divisors (297869572).

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

213065468 is a wasteful number, since it uses less digits than its factorization.

213065468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 213065468 is about 14596.7622437306. The cubic root of 213065468 is about 597.2704420936.

The spelling of 213065468 in words is "two hundred thirteen million, sixty-five thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 19 22 23 28 38 44 46 76 77 92 133 154 161 209 253 266 308 322 418 437 506 532 644 836 874 1012 1463 1583 1748 1771 2926 3059 3166 3542 4807 5852 6118 6332 7084 9614 11081 12236 17413 19228 22162 30077 33649 34826 36409 44324 60154 67298 69652 72818 120308 121891 134596 145636 210539 243782 254863 330847 400499 421078 487564 509726 661694 691771 800998 842156 1019452 1323388 1383542 1601996 2315929 2767084 2803493 4631858 4842397 5606986 7609481 9263716 9684794 11213972 15218962 19369588 30437924 53266367 106532734 213065468