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2243213400 = 2335215432423
BaseRepresentation
bin1000010110110100…
…1011100001011000
312210100000001021210
42011231023201120
514043230312100
61010331503120
7106405666521
oct20555134130
95710001253
102243213400
11a5126547a
125272b7aa0
13299981a0c
14173cc9848
15d1e05c50
hex85b4b858

2243213400 has 96 divisors (see below), whose sum is σ = 6961340160. Its totient is φ = 597555840.

The previous prime is 2243213389. The next prime is 2243213407. The reversal of 2243213400 is 43123422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243213407) 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, 924589 + ... + 927011.

It is an arithmetic number, because the mean of its divisors is an integer number (72513960).

Almost surely, 22243213400 is an apocalyptic number.

2243213400 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 2243213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480670080).

2243213400 is an abundant number, since it is smaller than the sum of its proper divisors (4718126760).

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

2243213400 is a wasteful number, since it uses less digits than its factorization.

2243213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2243213400 is about 47362.5738320881. The cubic root of 2243213400 is about 1309.0518944426.

Adding to 2243213400 its reverse (43123422), we get a palindrome (2286336822).

The spelling of 2243213400 in words is "two billion, two hundred forty-three million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1543 2423 3086 4629 4846 6172 7269 7715 9258 9692 12115 12344 14538 15430 18516 19384 23145 24230 29076 30860 36345 37032 38575 46290 48460 58152 60575 61720 72690 77150 92580 96920 115725 121150 145380 154300 181725 185160 231450 242300 290760 308600 363450 462900 484600 726900 925800 1453800 3738689 7477378 11216067 14954756 18693445 22432134 29909512 37386890 44864268 56080335 74773780 89728536 93467225 112160670 149547560 186934450 224321340 280401675 373868900 448642680 560803350 747737800 1121606700 2243213400