Search a number
-
+
224913240 = 23335208253
BaseRepresentation
bin11010110011111…
…10011101011000
3120200012202222000
431121332131120
5430034210430
634152401000
75400505506
oct1531763530
9520182860
10224913240
11105a59712
12633a6160
133779ab76
1421c29676
1514b2ae60
hexd67e758

224913240 has 64 divisors (see below), whose sum is σ = 749714400. Its totient is φ = 59976576.

The previous prime is 224913239. The next prime is 224913253. The reversal of 224913240 is 42319422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 103047 + ... + 105206.

Almost surely, 2224913240 is an apocalyptic number.

224913240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224913240 is an abundant number, since it is smaller than the sum of its proper divisors (524801160).

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

224913240 is a wasteful number, since it uses less digits than its factorization.

224913240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208273 (or 208263 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 224913240 is about 14997.1077211574. The cubic root of 224913240 is about 608.1420129372.

The spelling of 224913240 in words is "two hundred twenty-four million, nine hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 208253 416506 624759 833012 1041265 1249518 1666024 1874277 2082530 2499036 3123795 3748554 4165060 4998072 5622831 6247590 7497108 8330120 9371385 11245662 12495180 14994216 18742770 22491324 24990360 28114155 37485540 44982648 56228310 74971080 112456620 224913240