[go: up one dir, main page]

Search a number
-
+
2255441004 = 223383251611
BaseRepresentation
bin1000011001101111…
…0100110001101100
312211012000021102000
42012123310301230
514104343103004
61011445532300
7106614634515
oct20633646154
95735007360
102255441004
11a58157233
1252b414090
1329c37349b
1417578da0c
15d301dc39
hex866f4c6c

2255441004 has 48 divisors (see below), whose sum is σ = 5917914240. Its totient is φ = 742752720.

The previous prime is 2255441003. The next prime is 2255441009. The reversal of 2255441004 is 4001445522.

2255441004 is a `hidden beast` number, since 2 + 2 + 554 + 4 + 100 + 4 = 666.

2255441004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2255441003) 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, 116842 + ... + 134769.

It is an arithmetic number, because the mean of its divisors is an integer number (123289880).

Almost surely, 22255441004 is an apocalyptic number.

It is an amenable number.

2255441004 is an abundant number, since it is smaller than the sum of its proper divisors (3662473236).

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

2255441004 is a wasteful number, since it uses less digits than its factorization.

2255441004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251707 (or 251699 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2255441004 is about 47491.4834891478. The cubic root of 2255441004 is about 1311.4261034476.

Adding to 2255441004 its reverse (4001445522), we get a palindrome (6256886526).

The spelling of 2255441004 in words is "two billion, two hundred fifty-five million, four hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 251611 503222 754833 1006444 1509666 2264499 3019332 4528998 6793497 9057996 13586994 20883713 27173988 41767426 62651139 83534852 125302278 187953417 250604556 375906834 563860251 751813668 1127720502 2255441004