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2189407920 = 243571303219
BaseRepresentation
bin1000001001111111…
…1011011010110000
312122120202110001020
42002133323122300
513440442023140
61001130335440
7105153442320
oct20237733260
95576673036
102189407920
11a23955637
1251128a580
1328b79345b
1416aac1280
15cc3286d0
hex827fb6b0

2189407920 has 80 divisors (see below), whose sum is σ = 7756765440. Its totient is φ = 500435712.

The previous prime is 2189407907. The next prime is 2189408027. The reversal of 2189407920 is 297049812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649930 + ... + 653289.

It is an arithmetic number, because the mean of its divisors is an integer number (96959568).

Almost surely, 22189407920 is an apocalyptic number.

2189407920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2189407920 is an abundant number, since it is smaller than the sum of its proper divisors (5567357520).

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

2189407920 is a wasteful number, since it uses less digits than its factorization.

2189407920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303242 (or 1303236 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2189407920 is about 46791.1094119385. The cubic root of 2189407920 is about 1298.5008201109.

The spelling of 2189407920 in words is "two billion, one hundred eighty-nine million, four hundred seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1303219 2606438 3909657 5212876 6516095 7819314 9122533 10425752 13032190 15638628 18245066 19548285 20851504 26064380 27367599 31277256 36490132 39096570 45612665 52128760 54735198 62554512 72980264 78193140 91225330 104257520 109470396 136837995 145960528 156386280 182450660 218940792 273675990 312772560 364901320 437881584 547351980 729802640 1094703960 2189407920