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2100220000 = 2554173607
BaseRepresentation
bin111110100101110…
…1101000001100000
312102100221020012221
41331023231001200
513300124020000
6544223000424
7103021401244
oct17513550140
95370836187
102100220000
1198857940a
124a7439114
13276167038
1415cd06424
15c45ac61a
hex7d2ed060

2100220000 has 120 divisors (see below), whose sum is σ = 5205283776. Its totient is φ = 833856000.

The previous prime is 2100219959. The next prime is 2100220007. The reversal of 2100220000 is 220012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100220007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3459697 + ... + 3460303.

Almost surely, 22100220000 is an apocalyptic number.

2100220000 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 2100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602641888).

2100220000 is an abundant number, since it is smaller than the sum of its proper divisors (3105063776).

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

2100220000 is an equidigital number, since it uses as much as digits as its factorization.

2100220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2100220000 is about 45828.1572834868. The cubic root of 2100220000 is about 1280.6238820635.

Adding to 2100220000 its reverse (220012), we get a palindrome (2100440012).

The spelling of 2100220000 in words is "two billion, one hundred million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 200 250 346 400 500 607 625 692 800 865 1000 1214 1250 1384 1730 2000 2428 2500 2768 3035 3460 4000 4325 4856 5000 5536 6070 6920 8650 9712 10000 12140 13840 15175 17300 19424 20000 21625 24280 27680 30350 34600 43250 48560 60700 69200 75875 86500 97120 105011 108125 121400 138400 151750 173000 210022 216250 242800 303500 346000 379375 420044 432500 485600 525055 607000 692000 758750 840088 865000 1050110 1214000 1517500 1680176 1730000 2100220 2428000 2625275 3035000 3360352 3460000 4200440 5250550 6070000 8400880 10501100 12140000 13126375 16801760 21002200 26252750 42004400 52505500 65631875 84008800 105011000 131263750 210022000 262527500 420044000 525055000 1050110000 2100220000