Search a number
-
+
225606827820 = 223511341828527
BaseRepresentation
bin1101001000011100110…
…1101111111100101100
3210120022221001022120210
43102013031233330230
512144020321442240
6251350425142420
722204514252463
oct3220715577454
9716287038523
10225606827820
1187752199a20
123788332aa10
13183754a1cba
14acc2cab9da
155d06562780
hex348736ff2c

225606827820 has 48 divisors (see below), whose sum is σ = 689126312448. Its totient is φ = 54692564160.

The previous prime is 225606827819. The next prime is 225606827827. The reversal of 225606827820 is 28728606522.

It is a self number, because there is not a number n which added to its sum of digits gives 225606827820.

It is not an unprimeable number, because it can be changed into a prime (225606827827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170913604 + ... + 170914923.

It is an arithmetic number, because the mean of its divisors is an integer number (14356798176).

Almost surely, 2225606827820 is an apocalyptic number.

225606827820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225606827820 is an abundant number, since it is smaller than the sum of its proper divisors (463519484628).

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

225606827820 is a wasteful number, since it uses less digits than its factorization.

225606827820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341828550 (or 341828548 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

It can be divided in two parts, 225606 and 827820, that added together give a triangular number (1053426 = T1451).

The spelling of 225606827820 in words is "two hundred twenty-five billion, six hundred six million, eight hundred twenty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 341828527 683657054 1025485581 1367314108 1709142635 2050971162 3418285270 3760113797 4101942324 5127427905 6836570540 7520227594 10254855810 11280341391 15040455188 18800568985 20509711620 22560682782 37601137970 45121365564 56401706955 75202275940 112803413910 225606827820