Search a number
-
+
2229844320 = 2532511140773
BaseRepresentation
bin1000010011101000…
…1011100101100000
312202101211211100200
42010322023211200
514031320004240
61005133145200
7106154235564
oct20472134540
95671754320
102229844320
11a44764050
1252292b200
13296c80812
141722096a4
15d0b64930
hex84e8b960

2229844320 has 144 divisors (see below), whose sum is σ = 8301161232. Its totient is φ = 540564480.

The previous prime is 2229844301. The next prime is 2229844363. The reversal of 2229844320 is 234489222.

2229844320 is a `hidden beast` number, since 2 + 2 + 298 + 44 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54547 + ... + 86226.

It is an arithmetic number, because the mean of its divisors is an integer number (57646953).

Almost surely, 22229844320 is an apocalyptic number.

2229844320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2229844320 is an abundant number, since it is smaller than the sum of its proper divisors (6071316912).

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

2229844320 is a wasteful number, since it uses less digits than its factorization.

2229844320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140805 (or 140794 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2229844320 is about 47221.2274300446. The cubic root of 2229844320 is about 1306.4461530329.

The spelling of 2229844320 in words is "two billion, two hundred twenty-nine million, eight hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 140773 281546 422319 563092 703865 844638 1126184 1266957 1407730 1548503 1689276 2111595 2252368 2533914 2815460 3097006 3378552 4223190 4504736 4645509 5067828 5630920 6194012 6334785 6757104 7742515 8446380 9291018 10135656 11261840 12388024 12669570 13514208 13936527 15485030 16892760 18582036 20271312 22523680 23227545 24776048 25339140 27873054 30970060 33785520 37164072 40542624 46455090 49552096 50678280 55746108 61940120 67571040 69682635 74328144 92910180 101356560 111492216 123880240 139365270 148656288 185820360 202713120 222984432 247760480 278730540 371640720 445968864 557461080 743281440 1114922160 2229844320