Search a number
-
+
2305255440 = 24359799023
BaseRepresentation
bin1000100101100111…
…0110100000010000
312221122202002222010
42021121312200100
514210121133230
61020425342520
7111061230225
oct21131664020
95848662863
102305255440
11a83290594
12544037a40
132a9795297
1417c23994c
15d75ad9b0
hex89676810

2305255440 has 80 divisors (see below), whose sum is σ = 7220037888. Its totient is φ = 608391168.

The previous prime is 2305255417. The next prime is 2305255451. The reversal of 2305255440 is 445525032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2305255398 and 2305255407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26232 + ... + 72791.

Almost surely, 22305255440 is an apocalyptic number.

2305255440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305255440 is an abundant number, since it is smaller than the sum of its proper divisors (4914782448).

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

2305255440 is a wasteful number, since it uses less digits than its factorization.

2305255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99136 (or 99130 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2305255440 is about 48013.0757190164. The cubic root of 2305255440 is about 1321.0107501852.

The spelling of 2305255440 in words is "two billion, three hundred five million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5820 7760 11640 23280 99023 198046 297069 396092 495115 594138 792184 990230 1188276 1485345 1584368 1980460 2376552 2970690 3960920 4753104 5941380 7921840 9605231 11882760 19210462 23765520 28815693 38420924 48026155 57631386 76841848 96052310 115262772 144078465 153683696 192104620 230525544 288156930 384209240 461051088 576313860 768418480 1152627720 2305255440