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2212130000 = 24541571409
BaseRepresentation
bin1000001111011010…
…0110110011010000
312201011111211212202
42003312212303100
514012301130000
61003301342332
7105550536413
oct20366466320
95634454782
102212130000
11a35765013
12518a079a8
132933ba882
1416db17b7a
15ce315dd5
hex83da6cd0

2212130000 has 100 divisors (see below), whose sum is σ = 5393726580. Its totient is φ = 878592000.

The previous prime is 2212129999. The next prime is 2212130003. The reversal of 2212130000 is 312122.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2204490304 + 7639696 = 46952^2 + 2764^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212130003) 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, 1569296 + ... + 1570704.

Almost surely, 22212130000 is an apocalyptic number.

2212130000 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 2212130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696863290).

2212130000 is an abundant number, since it is smaller than the sum of its proper divisors (3181596580).

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

2212130000 is a wasteful number, since it uses less digits than its factorization.

2212130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1573 counting only the distinct ones).

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

The square root of 2212130000 is about 47033.2860854948. The cubic root of 2212130000 is about 1302.9773965550.

Adding to 2212130000 its reverse (312122), we get a palindrome (2212442122).

The spelling of 2212130000 in words is "two billion, two hundred twelve million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 157 200 250 314 400 500 625 628 785 1000 1250 1256 1409 1570 2000 2500 2512 2818 3140 3925 5000 5636 6280 7045 7850 10000 11272 12560 14090 15700 19625 22544 28180 31400 35225 39250 56360 62800 70450 78500 98125 112720 140900 157000 176125 196250 221213 281800 314000 352250 392500 442426 563600 704500 785000 880625 884852 1106065 1409000 1570000 1761250 1769704 2212130 2818000 3522500 3539408 4424260 5530325 7045000 8848520 11060650 14090000 17697040 22121300 27651625 44242600 55303250 88485200 110606500 138258125 221213000 276516250 442426000 553032500 1106065000 2212130000