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2230051340 = 2251131973371
BaseRepresentation
bin1000010011101011…
…1110001000001100
312202102020100100002
42010322332020030
514031343120330
61005141423432
7106156060256
oct20472761014
95672210302
102230051340
11a44895640
12522a0ab78
13297023b0a
14172260cd6
15d0ba5e45
hex84ebe20c

2230051340 has 96 divisors (see below), whose sum is σ = 5329594368. Its totient is φ = 776448000.

The previous prime is 2230051321. The next prime is 2230051357. The reversal of 2230051340 is 431500322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659855 + ... + 663225.

It is an arithmetic number, because the mean of its divisors is an integer number (55516608).

Almost surely, 22230051340 is an apocalyptic number.

2230051340 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 2230051340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664797184).

2230051340 is an abundant number, since it is smaller than the sum of its proper divisors (3099543028).

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

2230051340 is a wasteful number, since it uses less digits than its factorization.

2230051340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2230051340 is about 47223.4194018180. The cubic root of 2230051340 is about 1306.4865821802.

Adding to 2230051340 its reverse (431500322), we get a palindrome (2661551662).

The spelling of 2230051340 in words is "two billion, two hundred thirty million, fifty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 97 110 124 155 194 220 310 341 388 485 620 682 970 1067 1364 1705 1940 2134 3007 3371 3410 4268 5335 6014 6742 6820 10670 12028 13484 15035 16855 21340 30070 33077 33710 37081 60140 66154 67420 74162 104501 132308 148324 165385 185405 209002 326987 330770 370810 418004 522505 653974 661540 741620 1045010 1149511 1307948 1634935 2090020 2299022 3269870 3596857 4598044 5747555 6539740 7193714 10136597 11495110 14387428 17984285 20273194 22990220 35968570 40546388 50682985 71937140 101365970 111502567 202731940 223005134 446010268 557512835 1115025670 2230051340