Search a number
-
+
2227566000 = 243531133751
BaseRepresentation
bin1000010011000101…
…1111010110110000
312202020120002002110
42010301133112300
514030224103000
61005012245320
7106125666342
oct20461372660
95666502073
102227566000
11a43448340
12522010840
132966637ba
14171bb5292
15d0864850
hex84c5f5b0

2227566000 has 160 divisors (see below), whose sum is σ = 7834784256. Its totient is φ = 540000000.

The previous prime is 2227565993. The next prime is 2227566007. The reversal of 2227566000 is 6657222.

It is an interprime number because it is at equal distance from previous prime (2227565993) and next prime (2227566007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2227566007) 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, 49125 + ... + 82875.

Almost surely, 22227566000 is an apocalyptic number.

2227566000 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 2227566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917392128).

2227566000 is an abundant number, since it is smaller than the sum of its proper divisors (5607218256).

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

2227566000 is a wasteful number, since it uses less digits than its factorization.

2227566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33788 (or 33772 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2227566000 is about 47197.0973683764. The cubic root of 2227566000 is about 1306.0010521971.

The spelling of 2227566000 in words is "two billion, two hundred twenty-seven million, five hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 33751 66000 67502 101253 135004 168755 202506 270008 337510 371261 405012 506265 540016 675020 742522 810024 843775 1012530 1113783 1350040 1485044 1620048 1687550 1856305 2025060 2227566 2531325 2700080 2970088 3375100 3712610 4050120 4218875 4455132 5062650 5568915 5940176 6750200 7425220 8100240 8437750 8910264 9281525 10125300 11137830 12656625 13500400 14850440 16875500 17820528 18563050 20250600 22275660 25313250 27844575 29700880 33751000 37126100 40501200 44551320 46407625 50626500 55689150 67502000 74252200 89102640 92815250 101253000 111378300 139222875 148504400 185630500 202506000 222756600 278445750 371261000 445513200 556891500 742522000 1113783000 2227566000