Search a number
-
+
2113220000 = 2554157673
BaseRepresentation
bin111110111110101…
…0010110110100000
312110021101200212102
41331331102312200
513311441020000
6545405345532
7103240034153
oct17575226640
95407350772
102113220000
11994948511
124ab8682a8
13278a69248
1416092bc9a
15c57c93d5
hex7df52da0

2113220000 has 120 divisors (see below), whose sum is σ = 5239725876. Its totient is φ = 838656000.

The previous prime is 2113219949. The next prime is 2113220009. The reversal of 2113220000 is 223112.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 448253584 + 1664966416 = 21172^2 + 40804^2 .

It is not an unprimeable number, because it can be changed into a prime (2113220009) 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, 3139664 + ... + 3140336.

Almost surely, 22113220000 is an apocalyptic number.

2113220000 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 2113220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619862938).

2113220000 is an abundant number, since it is smaller than the sum of its proper divisors (3126505876).

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

2113220000 is an equidigital number, since it uses as much as digits as its factorization.

2113220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2113220000 is about 45969.7726772713. The cubic root of 2113220000 is about 1283.2607293870.

Adding to 2113220000 its reverse (223112), we get a palindrome (2113443112).

The spelling of 2113220000 in words is "two billion, one hundred thirteen million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 157 160 200 250 314 400 500 625 628 673 785 800 1000 1250 1256 1346 1570 2000 2500 2512 2692 3140 3365 3925 4000 5000 5024 5384 6280 6730 7850 10000 10768 12560 13460 15700 16825 19625 20000 21536 25120 26920 31400 33650 39250 53840 62800 67300 78500 84125 98125 105661 107680 125600 134600 157000 168250 196250 211322 269200 314000 336500 392500 420625 422644 528305 538400 628000 673000 785000 841250 845288 1056610 1346000 1570000 1682500 1690576 2113220 2641525 2692000 3140000 3365000 3381152 4226440 5283050 6730000 8452880 10566100 13207625 13460000 16905760 21132200 26415250 42264400 52830500 66038125 84528800 105661000 132076250 211322000 264152500 422644000 528305000 1056610000 2113220000