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228013440 = 2735118757
BaseRepresentation
bin11011001011100…
…11010110000000
3120220001021122020
431211303112000
5431332412230
634343041440
75436040134
oct1545632600
9526037566
10228013440
11107786966
1264440280
1338314cc5
14223d53c4
151503e810
hexd973580

228013440 has 64 divisors (see below), whose sum is σ = 726798960. Its totient is φ = 60803072.

The previous prime is 228013427. The next prime is 228013441. The reversal of 228013440 is 44310822.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 228013440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228013441) 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 7 ways as a sum of consecutive naturals, for example, 57459 + ... + 61298.

Almost surely, 2228013440 is an apocalyptic number.

228013440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228013440 is an abundant number, since it is smaller than the sum of its proper divisors (498785520).

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

228013440 is a wasteful number, since it uses less digits than its factorization.

228013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118779 (or 118767 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 228013440 is about 15100.1139068551. The cubic root of 228013440 is about 610.9234780677.

The spelling of 228013440 in words is "two hundred twenty-eight million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 118757 237514 356271 475028 593785 712542 950056 1187570 1425084 1781355 1900112 2375140 2850168 3562710 3800224 4750280 5700336 7125420 7600448 9500560 11400672 14250840 15200896 19001120 22801344 28501680 38002240 45602688 57003360 76004480 114006720 228013440