Search a number
-
+
215452320 = 2535448859
BaseRepresentation
bin11001101011110…
…00101010100000
3120000102010000120
430311320222200
5420123433240
633213520240
75224212606
oct1465705240
9500363016
10215452320
11100687576
12601a3080
13358377a5
1420885876
1513dacad0
hexcd78aa0

215452320 has 48 divisors (see below), whose sum is σ = 678676320. Its totient is φ = 57453824.

The previous prime is 215452309. The next prime is 215452331. The reversal of 215452320 is 23254512.

It is an interprime number because it is at equal distance from previous prime (215452309) and next prime (215452331).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 223950 + ... + 224909.

It is an arithmetic number, because the mean of its divisors is an integer number (14139090).

Almost surely, 2215452320 is an apocalyptic number.

215452320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215452320 is an abundant number, since it is smaller than the sum of its proper divisors (463224000).

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

215452320 is a wasteful number, since it uses less digits than its factorization.

215452320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448877 (or 448869 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 215452320 is about 14678.2941788206. The cubic root of 215452320 is about 599.4924596813.

The spelling of 215452320 in words is "two hundred fifteen million, four hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 448859 897718 1346577 1795436 2244295 2693154 3590872 4488590 5386308 6732885 7181744 8977180 10772616 13465770 14363488 17954360 21545232 26931540 35908720 43090464 53863080 71817440 107726160 215452320