Search a number
-
+
2694195200 = 21152101521
BaseRepresentation
bin1010000010010110…
…0010100000000000
320221202121022000102
42200211202200000
521004203221300
61123201541532
7123523165334
oct24045424000
96852538012
102694195200
111162891804
126323448a8
1333c233558
141b7b617c4
1510b7da0d5
hexa0962800

2694195200 has 144 divisors (see below), whose sum is σ = 6759059580. Its totient is φ = 1064960000.

The previous prime is 2694195187. The next prime is 2694195211. The reversal of 2694195200 is 25914962.

It can be written as a sum of positive squares in 6 ways, for example, as 1457406976 + 1236788224 = 38176^2 + 35168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5170940 + ... + 5171460.

Almost surely, 22694195200 is an apocalyptic number.

2694195200 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 2694195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379529790).

2694195200 is an abundant number, since it is smaller than the sum of its proper divisors (4064864380).

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

2694195200 is a wasteful number, since it uses less digits than its factorization.

2694195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 2694195200 is about 51905.6374587578. The cubic root of 2694195200 is about 1391.4780268692.

The spelling of 2694195200 in words is "two billion, six hundred ninety-four million, one hundred ninety-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 128 160 200 202 256 320 400 404 505 512 521 640 800 808 1010 1024 1042 1280 1600 1616 2020 2048 2084 2525 2560 2605 3200 3232 4040 4168 5050 5120 5210 6400 6464 8080 8336 10100 10240 10420 12800 12928 13025 16160 16672 20200 20840 25600 25856 26050 32320 33344 40400 41680 51200 51712 52100 52621 64640 66688 80800 83360 103424 104200 105242 129280 133376 161600 166720 206848 208400 210484 258560 263105 266752 323200 333440 416800 420968 517120 526210 533504 646400 666880 833600 841936 1034240 1052420 1067008 1292800 1315525 1333760 1667200 1683872 2104840 2585600 2631050 2667520 3334400 3367744 4209680 5171200 5262100 5335040 6668800 6735488 8419360 10524200 13337600 13470976 16838720 21048400 26675200 26941952 33677440 42096800 53883904 67354880 84193600 107767808 134709760 168387200 269419520 336774400 538839040 673548800 1347097600 2694195200