Search a number
-
+
4227228460 = 2257135939367
BaseRepresentation
bin1111101111110110…
…0110001100101100
3101220121021110022001
43323331212030230
532124132302320
61535244102044
7206516564140
oct37375461454
911817243261
104227228460
11187a184344
1299b834924
13524a20320
142c15c3220
1519b1ac20a
hexfbf6632c

4227228460 has 96 divisors (see below), whose sum is σ = 11111224320. Its totient is φ = 1315139328.

The previous prime is 4227228437. The next prime is 4227228469. The reversal of 4227228460 is 648227224.

It is not an unprimeable number, because it can be changed into a prime (4227228469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87697 + ... + 127063.

It is an arithmetic number, because the mean of its divisors is an integer number (115741920).

Almost surely, 24227228460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4227228460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555612160).

4227228460 is an abundant number, since it is smaller than the sum of its proper divisors (6883995860).

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

4227228460 is a wasteful number, since it uses less digits than its factorization.

4227228460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39455 (or 39453 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 4227228460 is about 65017.1397402254. The cubic root of 4227228460 is about 1616.9077399147.

The spelling of 4227228460 in words is "four billion, two hundred twenty-seven million, two hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 59 65 70 91 118 130 140 182 236 260 295 364 413 455 590 767 826 910 1180 1534 1652 1820 2065 3068 3835 4130 5369 7670 8260 10738 15340 21476 26845 39367 53690 78734 107380 157468 196835 275569 393670 511771 551138 787340 1023542 1102276 1377845 2047084 2322653 2558855 2755690 3582397 4645306 5117710 5511380 7164794 9290612 10235420 11613265 14329588 16258571 17911985 23226530 30194489 32517142 35823970 46453060 60388978 65034284 71647940 81292855 120777956 150972445 162585710 211361423 301944890 325171420 422722846 603889780 845445692 1056807115 2113614230 4227228460