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2196259740 = 2232545726699
BaseRepresentation
bin1000001011101000…
…0100001110011100
312200001122112222100
42002322010032130
513444220302430
61001533245100
7105265620423
oct20272041634
95601575870
102196259740
11a278054a4
12513633790
1329002209c
1416b9862ba
15ccc2d960
hex82e8439c

2196259740 has 72 divisors (see below), whose sum is σ = 6676815600. Its totient is φ = 584365824.

The previous prime is 2196259721. The next prime is 2196259783. The reversal of 2196259740 is 479526912.

2196259740 is a `hidden beast` number, since 2 + 19 + 6 + 2 + 597 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 68911 + ... + 95609.

It is an arithmetic number, because the mean of its divisors is an integer number (92733550).

Almost surely, 22196259740 is an apocalyptic number.

2196259740 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 2196259740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338407800).

2196259740 is an abundant number, since it is smaller than the sum of its proper divisors (4480555860).

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

2196259740 is a wasteful number, since it uses less digits than its factorization.

2196259740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27171 (or 27166 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2196259740 is about 46864.2693317628. The cubic root of 2196259740 is about 1299.8539757087.

The spelling of 2196259740 in words is "two billion, one hundred ninety-six million, two hundred fifty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 457 914 1371 1828 2285 2742 4113 4570 5484 6855 8226 9140 13710 16452 20565 26699 27420 41130 53398 80097 82260 106796 133495 160194 240291 266990 320388 400485 480582 533980 800970 961164 1201455 1601940 2402910 4805820 12201443 24402886 36604329 48805772 61007215 73208658 109812987 122014430 146417316 183021645 219625974 244028860 366043290 439251948 549064935 732086580 1098129870 2196259740