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2263506232 = 231328591949
BaseRepresentation
bin1000011011101010…
…0101110100111000
312211202012000211011
42012322211310320
514113424144412
61012334443304
7110043325351
oct20672456470
95752160734
102263506232
11a61765809
12532063534
132a0c38500
1417688cd28
15d3ab37a7
hex86ea5d38

2263506232 has 48 divisors (see below), whose sum is σ = 4603365000. Its totient is φ = 1042943616.

The previous prime is 2263506221. The next prime is 2263506257. The reversal of 2263506232 is 2326053622.

2263506232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2263506194 and 2263506203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1160394 + ... + 1162342.

Almost surely, 22263506232 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 2263506232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301682500).

2263506232 is an abundant number, since it is smaller than the sum of its proper divisors (2339858768).

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

2263506232 is a wasteful number, since it uses less digits than its factorization.

2263506232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The square root of 2263506232 is about 47576.3200762732. The cubic root of 2263506232 is about 1312.9874194135.

Adding to 2263506232 its reverse (2326053622), we get a palindrome (4589559854).

The spelling of 2263506232 in words is "two billion, two hundred sixty-three million, five hundred six thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 859 1352 1718 1949 3436 3898 6872 7796 11167 15592 22334 25337 44668 50674 89336 101348 145171 202696 290342 329381 580684 658762 1161368 1317524 1674191 2635048 3348382 6696764 13393528 21764483 43528966 87057932 174115864 282938279 565876558 1131753116 2263506232