Search a number
-
+
224420115330 = 23254615409017
BaseRepresentation
bin1101000100000001111…
…0110011001110000010
3210110021020001002002100
43101000132303032002
512134103022142310
6251032553531230
722133224335345
oct3210036631602
9713236032070
10224420115330
11871a33392a4
12375b1a13b16
1318216680868
14ac0d43a45c
155c8729dec0
hex34407b3382

224420115330 has 48 divisors (see below), whose sum is σ = 584758117944. Its totient is φ = 59715536640.

The previous prime is 224420115299. The next prime is 224420115331. The reversal of 224420115330 is 33511024422.

224420115330 is a `hidden beast` number, since 224 + 420 + 1 + 15 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 168332140089 + 56087975241 = 410283^2 + 236829^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224420115294 and 224420115303.

It is not an unprimeable number, because it can be changed into a prime (224420115331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2663019 + ... + 2745998.

Almost surely, 2224420115330 is an apocalyptic number.

224420115330 is an abundant number, since it is smaller than the sum of its proper divisors (360338002614).

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

224420115330 is a wasteful number, since it uses less digits than its factorization.

224420115330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409491 (or 5409488 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 224420115330 its reverse (33511024422), we get a palindrome (257931139752).

The spelling of 224420115330 in words is "two hundred twenty-four billion, four hundred twenty million, one hundred fifteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 461 922 1383 2305 2766 4149 4610 6915 8298 13830 20745 41490 5409017 10818034 16227051 27045085 32454102 48681153 54090170 81135255 97362306 162270510 243405765 486811530 2493556837 4987113674 7480670511 12467784185 14961341022 22442011533 24935568370 37403352555 44884023066 74806705110 112210057665 224420115330