Search a number
-
+
2228228970 = 2351179127673
BaseRepresentation
bin1000010011010000…
…0001001101101010
312202021210202111220
42010310001031222
514030411311340
61005034402510
7106134430242
oct20464011552
95667722456
102228228970
11a43860450
12522290436
132968364a6
14171d08b22
15d0945ed0
hex84d0136a

2228228970 has 128 divisors (see below), whose sum is σ = 5963120640. Its totient is φ = 528353280.

The previous prime is 2228228963. The next prime is 2228228999. The reversal of 2228228970 is 798228222.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3310554 + ... + 3311226.

It is an arithmetic number, because the mean of its divisors is an integer number (46586880).

Almost surely, 22228228970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228228970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981560320).

2228228970 is an abundant number, since it is smaller than the sum of its proper divisors (3734891670).

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

2228228970 is a wasteful number, since it uses less digits than its factorization.

2228228970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900.

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2228228970 is about 47204.1202650786. The cubic root of 2228228970 is about 1306.1306037097.

The spelling of 2228228970 in words is "two billion, two hundred twenty-eight million, two hundred twenty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 127 158 165 237 254 330 381 395 474 635 673 762 790 869 1185 1270 1346 1397 1738 1905 2019 2370 2607 2794 3365 3810 4038 4191 4345 5214 6730 6985 7403 8382 8690 10033 10095 13035 13970 14806 20066 20190 20955 22209 26070 30099 37015 41910 44418 50165 53167 60198 74030 85471 100330 106334 110363 111045 150495 159501 170942 220726 222090 256413 265835 300990 319002 331089 427355 512826 531670 551815 584837 662178 797505 854710 940181 1103630 1169674 1282065 1595010 1655445 1754511 1880362 2564130 2820543 2924185 3310890 3509022 4700905 5641086 5848370 6752209 8772555 9401810 13504418 14102715 17545110 20256627 28205430 33761045 40513254 67522090 74274299 101283135 148548598 202566270 222822897 371371495 445645794 742742990 1114114485 2228228970