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2250242200 = 2352195311173
BaseRepresentation
bin1000011000011111…
…1111100010011000
312210211020010222201
42012013333202120
514102030222300
61011142255544
7106522512613
oct20607774230
95724203881
102250242200
11a552262a8
125297275b4
1329b27307b
14174bd917a
15d284366a
hex861ff898

2250242200 has 96 divisors (see below), whose sum is σ = 5611582800. Its totient is φ = 836559360.

The previous prime is 2250242173. The next prime is 2250242201. The reversal of 2250242200 is 22420522.

2250242200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250242201) 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, 195814 + ... + 206986.

Almost surely, 22250242200 is an apocalyptic number.

2250242200 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 2250242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805791400).

2250242200 is an abundant number, since it is smaller than the sum of its proper divisors (3361340600).

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

2250242200 is a wasteful number, since it uses less digits than its factorization.

2250242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11261 (or 11252 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2250242200 is about 47436.7178459893. The cubic root of 2250242200 is about 1310.4177134594.

Adding to 2250242200 its reverse (22420522), we get a palindrome (2272662722).

The spelling of 2250242200 in words is "two billion, two hundred fifty million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 53 76 95 100 106 152 190 200 212 265 380 424 475 530 760 950 1007 1060 1325 1900 2014 2120 2650 3800 4028 5035 5300 8056 10070 10600 11173 20140 22346 25175 40280 44692 50350 55865 89384 100700 111730 201400 212287 223460 279325 424574 446920 558650 592169 849148 1061435 1117300 1184338 1698296 2122870 2234600 2368676 2960845 4245740 4737352 5307175 5921690 8491480 10614350 11251211 11843380 14804225 21228700 22502422 23686760 29608450 42457400 45004844 56256055 59216900 90009688 112512110 118433800 225024220 281280275 450048440 562560550 1125121100 2250242200