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2230333300 = 22521347173211
BaseRepresentation
bin1000010011110000…
…0010111101110100
312202102202200010001
42010330002331310
514031431131200
61005151441044
7106161343306
oct20474027564
95672680101
102230333300
11a44a68468
12522b26184
132970c2260
141722d5976
15d0c0e76a
hex84f02f74

2230333300 has 144 divisors (see below), whose sum is σ = 5379155712. Its totient is φ = 797529600.

The previous prime is 2230333291. The next prime is 2230333307. The reversal of 2230333300 is 33330322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230333307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10570195 + ... + 10570405.

It is an arithmetic number, because the mean of its divisors is an integer number (37355248).

Almost surely, 22230333300 is an apocalyptic number.

2230333300 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 2230333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689577856).

2230333300 is an abundant number, since it is smaller than the sum of its proper divisors (3148822412).

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

2230333300 is a wasteful number, since it uses less digits than its factorization.

2230333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 19.

The square root of 2230333300 is about 47226.4046905966. The cubic root of 2230333300 is about 1306.5416424122.

Adding to 2230333300 its reverse (33330322), we get a palindrome (2263663622).

The spelling of 2230333300 in words is "two billion, two hundred thirty million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 130 173 188 211 235 260 325 346 422 470 611 650 692 844 865 940 1055 1175 1222 1300 1730 2110 2249 2350 2444 2743 3055 3460 4220 4325 4498 4700 5275 5486 6110 8131 8650 8996 9917 10550 10972 11245 12220 13715 15275 16262 17300 19834 21100 22490 27430 30550 32524 36503 39668 40655 44980 49585 54860 56225 61100 68575 73006 81310 99170 105703 112450 128921 137150 146012 162620 182515 198340 203275 211406 224900 247925 257842 274300 365030 406550 422812 474539 495850 515684 528515 644605 730060 813100 912575 949078 991700 1057030 1289210 1715641 1825150 1898156 2114060 2372695 2578420 2642575 3223025 3431282 3650300 4745390 5285150 6446050 6862564 8578205 9490780 10570300 11863475 12892100 17156410 22303333 23726950 34312820 42891025 44606666 47453900 85782050 89213332 111516665 171564100 223033330 446066660 557583325 1115166650 2230333300