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2230221400 = 23521110110037
BaseRepresentation
bin1000010011101110…
…0111101001011000
312202102112222121121
42010323213221120
514031414041100
61005145215024
7106160366131
oct20473475130
95672488547
102230221400
11a449a1390
12522a91474
13297083344
141722a6c88
15d0bdb51a
hex84ee7a58

2230221400 has 96 divisors (see below), whose sum is σ = 5713228080. Its totient is φ = 802880000.

The previous prime is 2230221379. The next prime is 2230221407. The reversal of 2230221400 is 41220322.

2230221400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230221407) 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, 217182 + ... + 227218.

Almost surely, 22230221400 is an apocalyptic number.

2230221400 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 2230221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856614040).

2230221400 is an abundant number, since it is smaller than the sum of its proper divisors (3483006680).

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

2230221400 is a wasteful number, since it uses less digits than its factorization.

2230221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10165 (or 10156 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2230221400 is about 47225.2199571373. The cubic root of 2230221400 is about 1306.5197914994.

Adding to 2230221400 its reverse (41220322), we get a palindrome (2271441722).

It can be divided in two parts, 223022 and 1400, that added together give a palindrome (224422).

The spelling of 2230221400 in words is "two billion, two hundred thirty million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10037 10100 11110 20074 20200 22220 27775 40148 44440 50185 55550 80296 100370 110407 111100 200740 220814 222200 250925 401480 441628 501850 552035 883256 1003700 1013737 1104070 2007400 2027474 2208140 2760175 4054948 4416280 5068685 5520350 8109896 10137370 11040700 11151107 20274740 22081400 22302214 25343425 40549480 44604428 50686850 55755535 89208856 101373700 111511070 202747400 223022140 278777675 446044280 557555350 1115110700 2230221400