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215368944 = 24371993221
BaseRepresentation
bin11001101011001…
…00010011110000
3120000020212122120
430311210103300
5420113301234
633212034240
75223414540
oct1465442360
9500225576
10215368944
1110062a96a
1260162980
133580885b
1420863320
1513d93049
hexcd644f0

215368944 has 80 divisors (see below), whose sum is σ = 639244800. Its totient is φ = 61205760.

The previous prime is 215368913. The next prime is 215368957. The reversal of 215368944 is 449863512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 215368896 and 215368905.

It is a congruent number.

It is an unprimeable number.

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, 65254 + ... + 68474.

It is an arithmetic number, because the mean of its divisors is an integer number (7990560).

Almost surely, 2215368944 is an apocalyptic number.

215368944 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 215368944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319622400).

215368944 is an abundant number, since it is smaller than the sum of its proper divisors (423875856).

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

215368944 is a wasteful number, since it uses less digits than its factorization.

215368944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3432 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 215368944 is about 14675.4537919616. The cubic root of 215368944 is about 599.4151189310.

The spelling of 215368944 in words is "two hundred fifteen million, three hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 199 336 398 597 796 1194 1393 1592 2388 2786 3184 3221 4179 4776 5572 6442 8358 9552 9663 11144 12884 16716 19326 22288 22547 25768 33432 38652 45094 51536 66864 67641 77304 90188 135282 154608 180376 270564 360752 541128 640979 1082256 1281958 1922937 2563916 3845874 4486853 5127832 7691748 8973706 10255664 13460559 15383496 17947412 26921118 30766992 35894824 53842236 71789648 107684472 215368944