Search a number
-
+
2145255440 = 245181148153
BaseRepresentation
bin111111111011110…
…0000000000010000
312112111200021020012
41333313200000100
513343141133230
6552512134052
7104106241016
oct17767400020
95474607205
102145255440
11a00a39189
124ba537328
132825a4823
14164caa8b6
15c8506395
hex7fde0010

2145255440 has 40 divisors (see below), whose sum is σ = 5015309208. Its totient is φ = 853355520.

The previous prime is 2145255421. The next prime is 2145255443. The reversal of 2145255440 is 445525412.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 2142578944 = 1636^2 + 46288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2145255397 and 2145255406.

It is not an unprimeable number, because it can be changed into a prime (2145255443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59597 + ... + 88556.

Almost surely, 22145255440 is an apocalyptic number.

2145255440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145255440 is an abundant number, since it is smaller than the sum of its proper divisors (2870053768).

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

2145255440 is a wasteful number, since it uses less digits than its factorization.

2145255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148347 (or 148341 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The square root of 2145255440 is about 46316.9023143819. The cubic root of 2145255440 is about 1289.7127818382.

The spelling of 2145255440 in words is "two billion, one hundred forty-five million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 7240 14480 148153 296306 592612 740765 1185224 1481530 2370448 2963060 5926120 11852240 26815693 53631386 107262772 134078465 214525544 268156930 429051088 536313860 1072627720 2145255440