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2145222300 = 2235213599323
BaseRepresentation
bin111111111011101…
…0111111010011100
312112111121120202210
41333313113322130
513343134103200
6552511320420
7104106042264
oct17767277234
95474546683
102145222300
11a00a162a1
124ba520110
13282592710
14164c9c7a4
15c84eb650
hex7fdd7e9c

2145222300 has 144 divisors (see below), whose sum is σ = 6798314880. Its totient is φ = 519048960.

The previous prime is 2145222293. The next prime is 2145222337. The reversal of 2145222300 is 32225412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225439 + ... + 234761.

It is an arithmetic number, because the mean of its divisors is an integer number (47210520).

Almost surely, 22145222300 is an apocalyptic number.

2145222300 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 2145222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399157440).

2145222300 is an abundant number, since it is smaller than the sum of its proper divisors (4653092580).

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

2145222300 is a wasteful number, since it uses less digits than its factorization.

2145222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9412 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2145222300 is about 46316.5445602325. The cubic root of 2145222300 is about 1289.7061406242.

Adding to 2145222300 its reverse (32225412), we get a palindrome (2177447712).

The spelling of 2145222300 in words is "two billion, one hundred forty-five million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 59 60 65 75 78 100 118 130 150 156 177 195 236 260 295 300 325 354 390 590 650 708 767 780 885 975 1180 1300 1475 1534 1770 1950 2301 2950 3068 3540 3835 3900 4425 4602 5900 7670 8850 9204 9323 11505 15340 17700 18646 19175 23010 27969 37292 38350 46020 46615 55938 57525 76700 93230 111876 115050 121199 139845 186460 230100 233075 242398 279690 363597 466150 484796 550057 559380 605995 699225 727194 932300 1100114 1211990 1398450 1454388 1650171 1817985 2200228 2423980 2750285 2796900 3029975 3300342 3635970 5500570 6059950 6600684 7150741 7271940 8250855 9089925 11001140 12119900 13751425 14301482 16501710 18179850 21452223 27502850 28602964 33003420 35753705 36359700 41254275 42904446 55005700 71507410 82508550 85808892 107261115 143014820 165017100 178768525 214522230 357537050 429044460 536305575 715074100 1072611150 2145222300