Search a number
-
+
2252432136 = 2331723475107
BaseRepresentation
bin1000011001000001…
…0110001100001000
312210222100102000110
42012100112030020
514103110312021
61011301234320
7106550233353
oct20620261410
95728312013
102252432136
11a56491669
1252a4029a0
1329b85baa6
1417520929a
15d2b27476
hex86416308

2252432136 has 128 divisors (see below), whose sum is σ = 6355169280. Its totient is φ = 661410816.

The previous prime is 2252432123. The next prime is 2252432141. The reversal of 2252432136 is 6312342522.

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, 438495 + ... + 443601.

It is an arithmetic number, because the mean of its divisors is an integer number (49649760).

Almost surely, 22252432136 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 2252432136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177584640).

2252432136 is an abundant number, since it is smaller than the sum of its proper divisors (4102737144).

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

2252432136 is a wasteful number, since it uses less digits than its factorization.

2252432136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5199 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 2252432136 is about 47459.7949426670. The cubic root of 2252432136 is about 1310.8426751943.

Adding to 2252432136 its reverse (6312342522), we get a palindrome (8564774658).

The spelling of 2252432136 in words is "two billion, two hundred fifty-two million, four hundred thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 47 51 68 69 92 94 102 136 138 141 184 188 204 276 282 376 391 408 552 564 782 799 1081 1128 1173 1564 1598 2162 2346 2397 3128 3196 3243 4324 4692 4794 5107 6392 6486 8648 9384 9588 10214 12972 15321 18377 19176 20428 25944 30642 36754 40856 55131 61284 73508 86819 110262 117461 122568 147016 173638 220524 234922 240029 260457 347276 352383 441048 469844 480058 520914 694552 704766 720087 939688 960116 1041828 1409532 1440174 1920232 1996837 2083656 2819064 2880348 3993674 4080493 5520667 5760696 5990511 7987348 8160986 11041334 11981022 12241479 15974696 16321972 16562001 22082668 23962044 24482958 32643944 33124002 44165336 47924088 48965916 66248004 93851339 97931832 132496008 187702678 281554017 375405356 563108034 750810712 1126216068 2252432136