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2213134040 = 2351312293463
BaseRepresentation
bin1000001111101001…
…1011111011011000
312201020101212011102
42003322123323120
514013030242130
61003335050532
7105562220555
oct20372337330
95636355142
102213134040
11a362903a7
12519210a48
1329367c890
1416dcd9a2c
15ce463645
hex83e9bed8

2213134040 has 64 divisors (see below), whose sum is σ = 5368507200. Its totient is φ = 816256512.

The previous prime is 2213134009. The next prime is 2213134061. The reversal of 2213134040 is 404313122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637349 + ... + 640811.

It is an arithmetic number, because the mean of its divisors is an integer number (83882925).

Almost surely, 22213134040 is an apocalyptic number.

2213134040 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 2213134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684253600).

2213134040 is an abundant number, since it is smaller than the sum of its proper divisors (3155373160).

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

2213134040 is a wasteful number, since it uses less digits than its factorization.

2213134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2213134040 is about 47043.9585919382. The cubic root of 2213134040 is about 1303.1744982243.

Adding to 2213134040 its reverse (404313122), we get a palindrome (2617447162).

The spelling of 2213134040 in words is "two billion, two hundred thirteen million, one hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1229 2458 3463 4916 6145 6926 9832 12290 13852 15977 17315 24580 27704 31954 34630 45019 49160 63908 69260 79885 90038 127816 138520 159770 180076 225095 319540 360152 450190 639080 900380 1800760 4256027 8512054 17024108 21280135 34048216 42560270 55328351 85120540 110656702 170241080 221313404 276641755 442626808 553283510 1106567020 2213134040