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2255261004 = 2232176755001
BaseRepresentation
bin1000011001101100…
…1000110101001100
312211011200010111100
42012123020311030
514104321323004
61011442023100
7106613254653
oct20633106514
95734603440
102255261004
11a58043a77
1252b347a90
1329c30c589
1417574419a
15d2ed5739
hex866c8d4c

2255261004 has 72 divisors (see below), whose sum is σ = 6126342768. Its totient is φ = 696960000.

The previous prime is 2255260981. The next prime is 2255261039. The reversal of 2255261004 is 4001625522.

2255261004 is a `hidden beast` number, since 2 + 2 + 552 + 6 + 100 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13504 + ... + 68504.

It is an arithmetic number, because the mean of its divisors is an integer number (85088094).

Almost surely, 22255261004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255261004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063171384).

2255261004 is an abundant number, since it is smaller than the sum of its proper divisors (3871081764).

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

2255261004 is a wasteful number, since it uses less digits than its factorization.

2255261004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55095 (or 55090 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2255261004 is about 47489.5883747164. The cubic root of 2255261004 is about 1311.3912155213.

Adding to 2255261004 its reverse (4001625522), we get a palindrome (6256886526).

The spelling of 2255261004 in words is "two billion, two hundred fifty-five million, two hundred sixty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 67 68 102 134 153 201 204 268 306 402 603 612 804 1139 1206 2278 2412 3417 4556 6834 10251 13668 20502 41004 55001 110002 165003 220004 330006 495009 660012 935017 990018 1870034 1980036 2805051 3685067 3740068 5610102 7370134 8415153 11055201 11220204 14740268 16830306 22110402 33165603 33660612 44220804 62646139 66331206 125292278 132662412 187938417 250584556 375876834 563815251 751753668 1127630502 2255261004