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2225737530 = 2325295471559
BaseRepresentation
bin1000010010101010…
…0000111100111010
312202010010011220100
42010222200330322
514024242100110
61004505140230
7106104312462
oct20452407472
95663104810
102225737530
11a42409605
1252148a676
13296173473
1417185aba2
15d0602bc0
hex84aa0f3a

2225737530 has 96 divisors (see below), whose sum is σ = 6001257600. Its totient is φ = 571648896.

The previous prime is 2225737513. The next prime is 2225737537. The reversal of 2225737530 is 357375222.

2225737530 is a `hidden beast` number, since 2 + 2 + 257 + 375 + 30 = 666.

It is not an unprimeable number, because it can be changed into a prime (2225737537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1426891 + ... + 1428449.

It is an arithmetic number, because the mean of its divisors is an integer number (62513100).

Almost surely, 22225737530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225737530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000628800).

2225737530 is an abundant number, since it is smaller than the sum of its proper divisors (3775520070).

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

2225737530 is a wasteful number, since it uses less digits than its factorization.

2225737530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 2225737530 is about 47177.7228149049. The cubic root of 2225737530 is about 1305.6436161100.

The spelling of 2225737530 in words is "two billion, two hundred twenty-five million, seven hundred thirty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 547 870 1094 1305 1559 1641 2610 2735 3118 3282 4677 4923 5470 7795 8205 9354 9846 14031 15590 15863 16410 23385 24615 28062 31726 45211 46770 47589 49230 70155 79315 90422 95178 135633 140310 142767 158630 226055 237945 271266 285534 406899 452110 475890 678165 713835 813798 852773 1356330 1427670 1705546 2034495 2558319 4068990 4263865 5116638 7674957 8527730 12791595 15349914 24730417 25583190 38374785 49460834 74191251 76749570 123652085 148382502 222573753 247304170 370956255 445147506 741912510 1112868765 2225737530