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2293439200 = 2552131032141
BaseRepresentation
bin1000100010110011…
…0001101011100000
312220211111210010121
42020230301223200
514144110023300
61015324210024
7110555624443
oct21054615340
95824453117
102293439200
11a7764a8a8
12540099914
132a71b8b20
1417a84165a
15d652781a
hex88b31ae0

2293439200 has 144 divisors (see below), whose sum is σ = 6090922656. Its totient is φ = 838195200.

The previous prime is 2293439153. The next prime is 2293439233. The reversal of 2293439200 is 29343922.

It is a happy number.

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, 1070130 + ... + 1072270.

It is an arithmetic number, because the mean of its divisors is an integer number (42298074).

Almost surely, 22293439200 is an apocalyptic number.

2293439200 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 2293439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045461328).

2293439200 is an abundant number, since it is smaller than the sum of its proper divisors (3797483456).

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

2293439200 is a wasteful number, since it uses less digits than its factorization.

2293439200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 2293439200 is about 47889.8653161606. The cubic root of 2293439200 is about 1318.7498111004.

The spelling of 2293439200 in words is "two billion, two hundred ninety-three million, four hundred thirty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 103 104 130 160 200 206 208 260 325 400 412 416 515 520 650 800 824 1030 1040 1300 1339 1648 2060 2080 2141 2575 2600 2678 3296 4120 4282 5150 5200 5356 6695 8240 8564 10300 10400 10705 10712 13390 16480 17128 20600 21410 21424 26780 27833 33475 34256 41200 42820 42848 53525 53560 55666 66950 68512 82400 85640 107050 107120 111332 133900 139165 171280 214100 214240 220523 222664 267800 278330 342560 428200 441046 445328 535600 556660 695825 856400 882092 890656 1071200 1102615 1113320 1391650 1712800 1764184 2205230 2226640 2783300 2866799 3528368 4410460 4453280 5513075 5566600 5733598 7056736 8820920 11026150 11133200 11467196 14333995 17641840 22052300 22266400 22934392 28667990 35283680 44104600 45868784 57335980 71669975 88209200 91737568 114671960 143339950 176418400 229343920 286679900 458687840 573359800 1146719600 2293439200