Search a number
-
+
2232023200 = 255211253639
BaseRepresentation
bin1000010100001001…
…1111100010100000
312202112221112012221
42011002133202200
514032344220300
61005252000424
7106211612161
oct20502374240
95675845187
102232023200
11a45a12080
12523600114
132975644b4
14172615768
15d0e4531a
hex8509f8a0

2232023200 has 72 divisors (see below), whose sum is σ = 5944307040. Its totient is φ = 811641600.

The previous prime is 2232023173. The next prime is 2232023221. The reversal of 2232023200 is 23202322.

It is a super-3 number, since 3×22320232003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118020 + ... + 135619.

It is an arithmetic number, because the mean of its divisors is an integer number (82559820).

Almost surely, 22232023200 is an apocalyptic number.

2232023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232023200 is an abundant number, since it is smaller than the sum of its proper divisors (3712283840).

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

2232023200 is a wasteful number, since it uses less digits than its factorization.

2232023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253670 (or 253657 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2232023200 is about 47244.2927770117. The cubic root of 2232023200 is about 1306.8715433760.

Adding to 2232023200 its reverse (23202322), we get a palindrome (2255225522).

The spelling of 2232023200 in words is "two billion, two hundred thirty-two million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 253639 507278 1014556 1268195 2029112 2536390 2790029 4058224 5072780 5580058 6340975 8116448 10145560 11160116 12681950 13950145 20291120 22320232 25363900 27900290 40582240 44640464 50727800 55800580 69750725 89280928 101455600 111601160 139501450 202911200 223202320 279002900 446404640 558005800 1116011600 2232023200