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2228913700 = 22521311315173
BaseRepresentation
bin1000010011011010…
…1000011000100100
312202100002112210021
42010312220120210
514031100214300
61005101204524
7106143311446
oct20466503044
95670075707
102228913700
11a44188942
12522560744
13296a16060
14172046496
15d0a2dd1a
hex84da8624

2228913700 has 72 divisors (see below), whose sum is σ = 5255241768. Its totient is φ = 815646720.

The previous prime is 2228913679. The next prime is 2228913703. The reversal of 2228913700 is 73198222.

It can be written as a sum of positive squares in 12 ways, for example, as 1150973476 + 1077940224 = 33926^2 + 32832^2 .

It is not an unprimeable number, because it can be changed into a prime (2228913703) 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, 139314 + ... + 154486.

It is an arithmetic number, because the mean of its divisors is an integer number (72989469).

Almost surely, 22228913700 is an apocalyptic number.

2228913700 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 2228913700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627620884).

2228913700 is an abundant number, since it is smaller than the sum of its proper divisors (3026328068).

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

2228913700 is a wasteful number, since it uses less digits than its factorization.

2228913700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15313 (or 15306 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2228913700 is about 47211.3725706000. The cubic root of 2228913700 is about 1306.2643803885.

The spelling of 2228913700 in words is "two billion, two hundred twenty-eight million, nine hundred thirteen thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 113 130 226 260 325 452 565 650 1130 1300 1469 2260 2825 2938 5650 5876 7345 11300 14690 15173 29380 30346 36725 60692 73450 75865 146900 151730 197249 303460 379325 394498 758650 788996 986245 1517300 1714549 1972490 3429098 3944980 4931225 6858196 8572745 9862450 17145490 19724900 22289137 34290980 42863725 44578274 85727450 89156548 111445685 171454900 222891370 445782740 557228425 1114456850 2228913700