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2188695940 = 2251722328867
BaseRepresentation
bin1000001001110100…
…1101100110000100
312122112102021101121
42002131031212010
513440301232230
61001103203324
7105144415504
oct20235154604
95575367347
102188695940
11a23509722
12510ba6544
1328b5a4372
1416a977a04
15cc23777a
hex8274d984

2188695940 has 48 divisors (see below), whose sum is σ = 4888622592. Its totient is φ = 820256256.

The previous prime is 2188695881. The next prime is 2188695941. The reversal of 2188695940 is 495968812.

It is not an unprimeable number, because it can be changed into a prime (2188695941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61387 + ... + 90253.

It is an arithmetic number, because the mean of its divisors is an integer number (101846304).

Almost surely, 22188695940 is an apocalyptic number.

2188695940 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 2188695940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444311296).

2188695940 is an abundant number, since it is smaller than the sum of its proper divisors (2699926652).

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

2188695940 is a wasteful number, since it uses less digits than its factorization.

2188695940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29116 (or 29114 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The square root of 2188695940 is about 46783.5007240801. The cubic root of 2188695940 is about 1298.3600504173.

The spelling of 2188695940 in words is "two billion, one hundred eighty-eight million, six hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 223 340 446 892 1115 2230 3791 4460 7582 15164 18955 28867 37910 57734 75820 115468 144335 288670 490739 577340 981478 1962956 2453695 4907390 6437341 9814780 12874682 25749364 32186705 64373410 109434797 128746820 218869594 437739188 547173985 1094347970 2188695940