Search a number
-
+
2245660480 = 26571002527
BaseRepresentation
bin1000010111011010…
…0000111101000000
312210111121101001101
42011312200331000
514044342113410
61010500144144
7106435541050
oct20566407500
95714541041
102245660480
11a52686a58
12528098054
1329a32a7ab
14174365560
15d223ad3a
hex85da0f40

2245660480 has 56 divisors (see below), whose sum is σ = 6111410688. Its totient is φ = 769939968.

The previous prime is 2245660471. The next prime is 2245660489. The reversal of 2245660480 is 840665422.

It is an interprime number because it is at equal distance from previous prime (2245660471) and next prime (2245660489).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245660489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499024 + ... + 503503.

Almost surely, 22245660480 is an apocalyptic number.

2245660480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245660480 is an abundant number, since it is smaller than the sum of its proper divisors (3865750208).

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

2245660480 is a wasteful number, since it uses less digits than its factorization.

2245660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002551 (or 1002541 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 2245660480 is about 47388.4002684201. The cubic root of 2245660480 is about 1309.5277282901.

It can be divided in two parts, 2245660 and 480, that added together give a triangular number (2246140 = T2119).

The spelling of 2245660480 in words is "two billion, two hundred forty-five million, six hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 1002527 2005054 4010108 5012635 7017689 8020216 10025270 14035378 16040432 20050540 28070756 32080864 35088445 40101080 56141512 64161728 70176890 80202160 112283024 140353780 160404320 224566048 280707560 320808640 449132096 561415120 1122830240 2245660480