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2230311200 = 2552131911287
BaseRepresentation
bin1000010011101111…
…1101100100100000
312202102201112210112
42010323331210200
514031424424300
61005151150452
7106161222005
oct20473754440
95672645715
102230311200
11a44a528a7
12522b15428
132970b5190
141722cb8ac
15d0c07e35
hex84efd920

2230311200 has 144 divisors (see below), whose sum is σ = 6172729920. Its totient is φ = 780088320.

The previous prime is 2230311133. The next prime is 2230311217. The reversal of 2230311200 is 21130322.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191957 + ... + 203243.

It is an arithmetic number, because the mean of its divisors is an integer number (42866180).

Almost surely, 22230311200 is an apocalyptic number.

2230311200 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 2230311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086364960).

2230311200 is an abundant number, since it is smaller than the sum of its proper divisors (3942418720).

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

2230311200 is a wasteful number, since it uses less digits than its factorization.

2230311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2230311200 is about 47226.1707107405. The cubic root of 2230311200 is about 1306.5373269636.

Adding to 2230311200 its reverse (21130322), we get a palindrome (2251441522).

The spelling of 2230311200 in words is "two billion, two hundred thirty million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 65 76 80 95 100 104 130 152 160 190 200 208 247 260 304 325 380 400 416 475 494 520 608 650 760 800 950 988 1040 1235 1300 1520 1900 1976 2080 2470 2600 3040 3800 3952 4940 5200 6175 7600 7904 9880 10400 11287 12350 15200 19760 22574 24700 39520 45148 49400 56435 90296 98800 112870 146731 180592 197600 214453 225740 282175 293462 361184 428906 451480 564350 586924 733655 857812 902960 1072265 1128700 1173848 1467310 1715624 1805920 2144530 2257400 2347696 2787889 2934620 3431248 3668275 4289060 4514800 4695392 5361325 5575778 5869240 6862496 7336550 8578120 9029600 10722650 11151556 11738480 13939445 14673100 17156240 21445300 22303112 23476960 27878890 29346200 34312480 42890600 44606224 55757780 58692400 69697225 85781200 89212448 111515560 117384800 139394450 171562400 223031120 278788900 446062240 557577800 1115155600 2230311200