Search a number
-
+
1415252220 = 223537769829
BaseRepresentation
bin101010001011011…
…0000100011111100
310122122001021001220
41110112300203330
510344301032340
6352233433340
750033305524
oct12426604374
93578037056
101415252220
11666966a38
12335b6b850
1319728bb65
14d5d62684
15843a8ed0
hex545b08fc

1415252220 has 96 divisors (see below), whose sum is σ = 4080014400. Its totient is φ = 366280704.

The previous prime is 1415252219. The next prime is 1415252231. The reversal of 1415252220 is 222525141.

It is a congruent number.

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, 1706766 + ... + 1707594.

It is an arithmetic number, because the mean of its divisors is an integer number (42500150).

Almost surely, 21415252220 is an apocalyptic number.

1415252220 is a gapful number since it is divisible by the number (10) 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 1415252220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040007200).

1415252220 is an abundant number, since it is smaller than the sum of its proper divisors (2664762180).

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

1415252220 is a wasteful number, since it uses less digits than its factorization.

1415252220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1415252220 is about 37619.8381176740. The cubic root of 1415252220 is about 1122.7367754316.

Adding to 1415252220 its reverse (222525141), we get a palindrome (1637777361).

The spelling of 1415252220 in words is "one billion, four hundred fifteen million, two hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 769 829 1110 1538 1658 2220 2307 2487 3076 3316 3845 4145 4614 4974 7690 8290 9228 9948 11535 12435 15380 16580 23070 24870 28453 30673 46140 49740 56906 61346 85359 92019 113812 122692 142265 153365 170718 184038 284530 306730 341436 368076 426795 460095 569060 613460 637501 853590 920190 1275002 1707180 1840380 1912503 2550004 3187505 3825006 6375010 7650012 9562515 12750020 19125030 23587537 38250060 47175074 70762611 94350148 117937685 141525222 235875370 283050444 353813055 471750740 707626110 1415252220