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215213152 = 25711194597
BaseRepresentation
bin11001101001111…
…10010001100000
3112222221221221111
430310332101200
5420043310102
633204433104
75222165410
oct1464762140
9488857844
10215213152
11100533910
12600a8794
133578297b
1420822640
1513d61cd7
hexcd3e460

215213152 has 96 divisors (see below), whose sum is σ = 556174080. Its totient is φ = 79418880.

The previous prime is 215213137. The next prime is 215213153. The reversal of 215213152 is 251312512.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215213153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44518 + ... + 49114.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480).

Almost surely, 2215213152 is an apocalyptic number.

215213152 is a gapful number since it is divisible by the number (22) 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 215213152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278087040).

215213152 is an abundant number, since it is smaller than the sum of its proper divisors (340960928).

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

215213152 is a wasteful number, since it uses less digits than its factorization.

215213152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4636 counting only the distinct ones).

The product of its digits is 600, while the sum is 22.

The square root of 215213152 is about 14670.1449208929. The cubic root of 215213152 is about 599.2705505690.

Adding to 215213152 its reverse (251312512), we get a palindrome (466525664).

The spelling of 215213152 in words is "two hundred fifteen million, two hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 532 608 616 836 1064 1232 1463 1672 2128 2464 2926 3344 4256 4597 5852 6688 9194 11704 18388 23408 32179 36776 46816 50567 64358 73552 87343 101134 128716 147104 174686 202268 257432 349372 353969 404536 514864 611401 698744 707938 809072 960773 1029728 1222802 1397488 1415876 1618144 1921546 2445604 2794976 2831752 3843092 4891208 5663504 6725411 7686184 9782416 11327008 13450822 15372368 19564832 26901644 30744736 53803288 107606576 215213152