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2216013000 = 233533791949
BaseRepresentation
bin1000010000010101…
…1010110011001000
312201102211010100120
42010011122303020
514014244404000
61003520503240
7105625541205
oct20405326310
95642733316
102216013000
11a37977403
1251a17ab20
1329414a0c6
14170448cac
15ce8316a0
hex8415acc8

2216013000 has 128 divisors (see below), whose sum is σ = 6935760000. Its totient is φ = 589075200.

The previous prime is 2216012999. The next prime is 2216013001. The reversal of 2216013000 is 3106122.

It is an interprime number because it is at equal distance from previous prime (2216012999) and next prime (2216013001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2216013001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136026 + ... + 1137974.

It is an arithmetic number, because the mean of its divisors is an integer number (54185625).

Almost surely, 22216013000 is an apocalyptic number.

2216013000 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 2216013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467880000).

2216013000 is an abundant number, since it is smaller than the sum of its proper divisors (4719747000).

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

2216013000 is a wasteful number, since it uses less digits than its factorization.

2216013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2216013000 is about 47074.5472628256. The cubic root of 2216013000 is about 1303.7393324549.

Adding to 2216013000 its reverse (3106122), we get a palindrome (2219119122).

The spelling of 2216013000 in words is "two billion, two hundred sixteen million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 379 500 600 750 758 1000 1137 1500 1516 1895 1949 2274 3000 3032 3790 3898 4548 5685 5847 7580 7796 9096 9475 9745 11370 11694 15160 15592 18950 19490 22740 23388 28425 29235 37900 38980 45480 46776 47375 48725 56850 58470 75800 77960 94750 97450 113700 116940 142125 146175 189500 194900 227400 233880 243625 284250 292350 379000 389800 487250 568500 584700 730875 738671 974500 1137000 1169400 1461750 1477342 1949000 2216013 2923500 2954684 3693355 4432026 5847000 5909368 7386710 8864052 11080065 14773420 17728104 18466775 22160130 29546840 36933550 44320260 55400325 73867100 88640520 92333875 110800650 147734200 184667750 221601300 277001625 369335500 443202600 554003250 738671000 1108006500 2216013000