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2130422000 = 24537221739
BaseRepresentation
bin111111011111011…
…1010100011110000
312111110202122120112
41332332322203300
513330342001000
6551222200452
7103536200600
oct17676724360
95443678515
102130422000
119a3627643
124b5583128
1327c4acc45
14162d28c00
15c7076235
hex7efba8f0

2130422000 has 120 divisors (see below), whose sum is σ = 5992674480. Its totient is φ = 730396800.

The previous prime is 2130421991. The next prime is 2130422009. The reversal of 2130422000 is 2240312.

It is an interprime number because it is at equal distance from previous prime (2130421991) and next prime (2130422009).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130422009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87131 + ... + 108869.

It is an arithmetic number, because the mean of its divisors is an integer number (49938954).

Almost surely, 22130422000 is an apocalyptic number.

2130422000 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 2130422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996337240).

2130422000 is an abundant number, since it is smaller than the sum of its proper divisors (3862252480).

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

2130422000 is a wasteful number, since it uses less digits than its factorization.

2130422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21776 (or 21753 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2130422000 is about 46156.4946675980. The cubic root of 2130422000 is about 1286.7333167559.

Adding to 2130422000 its reverse (2240312), we get a palindrome (2132662312).

The spelling of 2130422000 in words is "two billion, one hundred thirty million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2450 2800 3500 3920 4900 6125 7000 9800 12250 14000 19600 21739 24500 43478 49000 86956 98000 108695 152173 173912 217390 304346 347824 434780 543475 608692 760865 869560 1065211 1086950 1217384 1521730 1739120 2130422 2173900 2434768 2717375 3043460 3804325 4260844 4347800 5326055 5434750 6086920 7608650 8521688 8695600 10652110 10869500 12173840 15217300 17043376 19021625 21304220 21739000 26630275 30434600 38043250 42608440 43478000 53260550 60869200 76086500 85216880 106521100 133151375 152173000 213042200 266302750 304346000 426084400 532605500 1065211000 2130422000