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2251152232 = 237234147907
BaseRepresentation
bin1000011000101101…
…1101101101101000
312210212221101022121
42012023131231220
514102243332412
61011214001024
7106533323020
oct20613355550
95725841277
102251152232
11a55797a9a
12529aa6174
1329b501354
14174d94a80
15d2973107
hex862ddb68

2251152232 has 128 divisors (see below), whose sum is σ = 5271920640. Its totient is φ = 880197120.

The previous prime is 2251152227. The next prime is 2251152247. The reversal of 2251152232 is 2322511522.

2251152232 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 = 2251152197 and 2251152206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2481523 + ... + 2482429.

It is an arithmetic number, because the mean of its divisors is an integer number (41186880).

Almost surely, 22251152232 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 2251152232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635960320).

2251152232 is an abundant number, since it is smaller than the sum of its proper divisors (3020768408).

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

2251152232 is a wasteful number, since it uses less digits than its factorization.

2251152232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1027 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 2251152232 is about 47446.3089396847. The cubic root of 2251152232 is about 1310.5943405695.

Adding to 2251152232 its reverse (2322511522), we get a palindrome (4573663754).

The spelling of 2251152232 in words is "two billion, two hundred fifty-one million, one hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 41 46 47 56 82 92 94 161 164 184 188 287 322 328 329 376 574 644 658 907 943 1081 1148 1288 1316 1814 1886 1927 2162 2296 2632 3628 3772 3854 4324 6349 6601 7256 7544 7567 7708 8648 12698 13202 13489 15134 15416 20861 25396 26404 26978 30268 37187 41722 42629 44321 50792 52808 53956 60536 74374 83444 85258 88642 107912 146027 148748 166888 170516 177284 260309 292054 297496 298403 310247 341032 354568 520618 584108 596806 620494 855301 980467 1041236 1168216 1193612 1240988 1710602 1747789 1960934 2082472 2387224 2481976 3421204 3495578 3921868 5987107 6842408 6863269 6991156 7843736 11974214 12234523 13726538 13982312 23948428 24469046 27453076 40199147 47896856 48938092 54906152 80398294 97876184 160796588 281394029 321593176 562788058 1125576116 2251152232