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2230212320 = 255717117133
BaseRepresentation
bin1000010011101110…
…0101011011100000
312202102112112011022
42010323211123200
514031413243240
61005145105012
7106160330510
oct20473453340
95672475138
102230212320
11a44995586
12522a88168
1329707c17b
141722a3840
15d0bd89b5
hex84ee56e0

2230212320 has 96 divisors (see below), whose sum is σ = 6375837888. Its totient is φ = 719659008.

The previous prime is 2230212239. The next prime is 2230212349. The reversal of 2230212320 is 232120322.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39527 + ... + 77606.

It is an arithmetic number, because the mean of its divisors is an integer number (66414978).

Almost surely, 22230212320 is an apocalyptic number.

2230212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230212320 is an abundant number, since it is smaller than the sum of its proper divisors (4145625568).

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

2230212320 is a wasteful number, since it uses less digits than its factorization.

2230212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117172 (or 117164 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2230212320 is about 47225.1238219658. The cubic root of 2230212320 is about 1306.5180183996.

Adding to 2230212320 its reverse (232120322), we get a palindrome (2462332642).

The spelling of 2230212320 in words is "two billion, two hundred thirty million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 9520 19040 117133 234266 468532 585665 819931 937064 1171330 1639862 1874128 1991261 2342660 3279724 3748256 3982522 4099655 4685320 6559448 7965044 8199310 9370640 9956305 13118896 13938827 15930088 16398620 18741280 19912610 26237792 27877654 31860176 32797240 39825220 55755308 63720352 65594480 69694135 79650440 111510616 131188960 139388270 159300880 223021232 278776540 318601760 446042464 557553080 1115106160 2230212320