Search a number
-
+
2230122000 = 24353491757
BaseRepresentation
bin1000010011101100…
…1111011000010000
312202102100221021010
42010323033120100
514031402401000
61005143130520
7106156503261
oct20473173020
95672327233
102230122000
11a44933737
12522a43a40
1329704a022
1417227c968
15d0bbbd50
hex84ecf610

2230122000 has 160 divisors (see below), whose sum is σ = 7214073984. Its totient is φ = 592704000.

The previous prime is 2230121951. The next prime is 2230122019. The reversal of 2230122000 is 2210322.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2945622 + ... + 2946378.

Almost surely, 22230122000 is an apocalyptic number.

2230122000 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 2230122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607036992).

2230122000 is an abundant number, since it is smaller than the sum of its proper divisors (4983951984).

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

2230122000 is a wasteful number, since it uses less digits than its factorization.

2230122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2230122000 is about 47224.1675416306. The cubic root of 2230122000 is about 1306.5003808710.

Adding to 2230122000 its reverse (2210322), we get a palindrome (2232332322).

The spelling of 2230122000 in words is "two billion, two hundred thirty million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 491 500 600 750 757 982 1000 1200 1473 1500 1514 1964 2000 2271 2455 2946 3000 3028 3785 3928 4542 4910 5892 6000 6056 7365 7570 7856 9084 9820 11355 11784 12112 12275 14730 15140 18168 18925 19640 22710 23568 24550 29460 30280 36336 36825 37850 39280 45420 49100 56775 58920 60560 61375 73650 75700 90840 94625 98200 113550 117840 122750 147300 151400 181680 184125 189250 196400 227100 245500 283875 294600 302800 368250 371687 378500 454200 491000 567750 589200 736500 743374 757000 908400 982000 1115061 1135500 1473000 1486748 1514000 1858435 2230122 2271000 2946000 2973496 3716870 4460244 4542000 5575305 5946992 7433740 8920488 9292175 11150610 14867480 17840976 18584350 22301220 27876525 29734960 37168700 44602440 46460875 55753050 74337400 89204880 92921750 111506100 139382625 148674800 185843500 223012200 278765250 371687000 446024400 557530500 743374000 1115061000 2230122000