Search a number
-
+
2253560328 = 2332251124699
BaseRepresentation
bin1000011001010010…
…1001101000001000
312211001110201121100
42012110221220020
514103402412303
61011341341400
7106562642505
oct20624515010
95731421540
102253560328
11a57092258
1252a867860
1329bb65466
141754204ac
15d2c9b8a3
hex86529a08

2253560328 has 48 divisors (see below), whose sum is σ = 6127758000. Its totient is φ = 748188000.

The previous prime is 2253560327. The next prime is 2253560329. The reversal of 2253560328 is 8230653522.

2253560328 is a `hidden beast` number, since 2 + 25 + 3 + 5 + 603 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (2253560327) and next prime (2253560329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2253560292 and 2253560301.

It is not an unprimeable number, because it can be changed into a prime (2253560321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44278 + ... + 80421.

It is an arithmetic number, because the mean of its divisors is an integer number (127661625).

Almost surely, 22253560328 is an apocalyptic number.

It is an amenable number.

2253560328 is an abundant number, since it is smaller than the sum of its proper divisors (3874197672).

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

2253560328 is a wasteful number, since it uses less digits than its factorization.

2253560328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124962 (or 124955 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2253560328 is about 47471.6792203520. The cubic root of 2253560328 is about 1311.0614957530.

The spelling of 2253560328 in words is "two billion, two hundred fifty-three million, five hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 251 502 753 1004 1506 2008 2259 3012 4518 6024 9036 18072 124699 249398 374097 498796 748194 997592 1122291 1496388 2244582 2992776 4489164 8978328 31299449 62598898 93898347 125197796 187796694 250395592 281695041 375593388 563390082 751186776 1126780164 2253560328