Search a number
-
+
2245387464 = 2332106929173
BaseRepresentation
bin1000010111010101…
…1110010011001000
312210111002111112200
42011311132103020
514044304344324
61010450240200
7106433323065
oct20565362310
95714074480
102245387464
11a5250a921
12527b86060
1329a263448
141742d3c6c
15d21d4ec9
hex85d5e4c8

2245387464 has 48 divisors (see below), whose sum is σ = 6087155100. Its totient is φ = 747736704.

The previous prime is 2245387457. The next prime is 2245387483. The reversal of 2245387464 is 4647835422.

It is a happy number.

2245387464 is a `hidden beast` number, since 224 + 5 + 387 + 46 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2093062500 + 152324964 = 45750^2 + 12342^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62382 + ... + 91554.

Almost surely, 22245387464 is an apocalyptic number.

2245387464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2245387464 is an abundant number, since it is smaller than the sum of its proper divisors (3841767636).

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

2245387464 is a wasteful number, since it uses less digits than its factorization.

2245387464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30254 (or 30247 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 2245387464 is about 47385.5195603045. The cubic root of 2245387464 is about 1309.4746575618.

The spelling of 2245387464 in words is "two billion, two hundred forty-five million, three hundred eighty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1069 2138 3207 4276 6414 8552 9621 12828 19242 25656 29173 38484 58346 76968 87519 116692 175038 233384 262557 350076 525114 700152 1050228 2100456 31185937 62371874 93557811 124743748 187115622 249487496 280673433 374231244 561346866 748462488 1122693732 2245387464