Search a number
-
+
2228673240 = 233259376607
BaseRepresentation
bin1000010011010110…
…1101101011011000
312202022122022221100
42010311231223120
514031020020430
61005052111400
7106141260423
oct20465555330
95668568840
102228673240
11a44034212
12522465560
13296960781
14171dc29ba
15d09d2960
hex84d6dad8

2228673240 has 96 divisors (see below), whose sum is σ = 7252015680. Its totient is φ = 593588736.

The previous prime is 2228673179. The next prime is 2228673241. The reversal of 2228673240 is 423768222.

It is a happy number.

2228673240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2228673195 and 2228673204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228673241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334017 + ... + 340623.

It is an arithmetic number, because the mean of its divisors is an integer number (75541830).

Almost surely, 22228673240 is an apocalyptic number.

2228673240 is a gapful number since it is divisible by the number (20) 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 2228673240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626007840).

2228673240 is an abundant number, since it is smaller than the sum of its proper divisors (5023342440).

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

2228673240 is a wasteful number, since it uses less digits than its factorization.

2228673240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7561 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2228673240 is about 47208.8258697460. The cubic root of 2228673240 is about 1306.2174044963.

The spelling of 2228673240 in words is "two billion, two hundred twenty-eight million, six hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 937 1874 2811 3748 4685 5622 6607 7496 8433 9370 11244 13214 14055 16866 18740 19821 22488 26428 28110 33035 33732 37480 39642 42165 52856 56220 59463 66070 67464 79284 84330 99105 112440 118926 132140 158568 168660 198210 237852 264280 297315 337320 396420 475704 594630 792840 1189260 2378520 6190759 12381518 18572277 24763036 30953795 37144554 49526072 55716831 61907590 74289108 92861385 111433662 123815180 148578216 185722770 222867324 247630360 278584155 371445540 445734648 557168310 742891080 1114336620 2228673240