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224404956 = 22328970039
BaseRepresentation
bin11010110000000…
…10010111011100
3120122020221201200
431120002113130
5424421424311
634133435500
75363260566
oct1530022734
9518227650
10224404956
11105741846
126319bb90
13376506c9
1421b36336
1514a7a556
hexd6025dc

224404956 has 36 divisors (see below), whose sum is σ = 573627600. Its totient is φ = 73960128.

The previous prime is 224404927. The next prime is 224404969. The reversal of 224404956 is 659404422.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 224404956.

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 11 ways as a sum of consecutive naturals, for example, 31816 + ... + 38223.

It is an arithmetic number, because the mean of its divisors is an integer number (15934100).

Almost surely, 2224404956 is an apocalyptic number.

It is an amenable number.

224404956 is an abundant number, since it is smaller than the sum of its proper divisors (349222644).

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

224404956 is a wasteful number, since it uses less digits than its factorization.

224404956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70138 (or 70133 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 224404956 is about 14980.1520686540. The cubic root of 224404956 is about 607.6835517093.

The spelling of 224404956 in words is "two hundred twenty-four million, four hundred four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 70039 140078 210117 280156 420234 630351 840468 1260702 2521404 6233471 12466942 18700413 24933884 37400826 56101239 74801652 112202478 224404956