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2213113140 = 2232574394001
BaseRepresentation
bin1000001111101001…
…0110110100110100
312201020100210111100
42003322112310310
514013024110030
61003334410100
7105562102620
oct20372266464
95636323440
102213113140
11a36276727
12519200930
13293673204
1416dcd2180
15ce45c360
hex83e96d34

2213113140 has 144 divisors (see below), whose sum is σ = 7691523840. Its totient is φ = 504576000.

The previous prime is 2213113139. The next prime is 2213113151. The reversal of 2213113140 is 413113122.

2213113140 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551140 + ... + 555140.

It is an arithmetic number, because the mean of its divisors is an integer number (53413360).

Almost surely, 22213113140 is an apocalyptic number.

2213113140 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 2213113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845761920).

2213113140 is an abundant number, since it is smaller than the sum of its proper divisors (5478410700).

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

2213113140 is a wasteful number, since it uses less digits than its factorization.

2213113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2213113140 is about 47043.7364587466. The cubic root of 2213113140 is about 1303.1703959825.

Subtracting from 2213113140 its sum of digits (18), we obtain a palindrome (2213113122).

Adding to 2213113140 its reverse (413113122), we get a palindrome (2626226262).

The spelling of 2213113140 in words is "two billion, two hundred thirteen million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 439 630 878 1260 1317 1756 2195 2634 3073 3951 4001 4390 5268 6146 6585 7902 8002 8780 9219 12003 12292 13170 15365 15804 16004 18438 19755 20005 24006 26340 27657 28007 30730 36009 36876 39510 40010 46095 48012 55314 56014 60015 61460 72018 79020 80020 84021 92190 110628 112028 120030 138285 140035 144036 168042 180045 184380 240060 252063 276570 280070 336084 360090 420105 504126 553140 560140 720180 840210 1008252 1260315 1680420 1756439 2520630 3512878 5041260 5269317 7025756 8782195 10538634 12295073 15807951 17564390 21077268 24590146 26346585 31615902 35128780 36885219 49180292 52693170 61475365 63231804 73770438 79039755 105386340 110655657 122950730 147540876 158079510 184426095 221311314 245901460 316159020 368852190 442622628 553278285 737704380 1106556570 2213113140