Search a number
-
+
222275144 = 237131013023
BaseRepresentation
bin11010011111110…
…10011001001000
3120111020202011202
431033322121020
5423400301034
634020043332
75336210330
oct1517723110
9514222152
10222275144
11104517673
1262533548
1337086170
14217400c0
15147a947e
hexd3fa648

222275144 has 64 divisors (see below), whose sum is σ = 518192640. Its totient is φ = 87033600.

The previous prime is 222275101. The next prime is 222275147. The reversal of 222275144 is 441572222.

222275144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (222275147) 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, 72017 + ... + 75039.

It is an arithmetic number, because the mean of its divisors is an integer number (8096760).

Almost surely, 2222275144 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 222275144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320).

222275144 is an abundant number, since it is smaller than the sum of its proper divisors (295917496).

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

222275144 is a wasteful number, since it uses less digits than its factorization.

222275144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3146 counting only the distinct ones).

The product of its digits is 8960, while the sum is 29.

The square root of 222275144 is about 14908.8947947190. The cubic root of 222275144 is about 605.7549430871.

The spelling of 222275144 in words is "two hundred twenty-two million, two hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 182 202 364 404 707 728 808 1313 1414 2626 2828 3023 5252 5656 6046 9191 10504 12092 18382 21161 24184 36764 39299 42322 73528 78598 84644 157196 169288 275093 305323 314392 550186 610646 1100372 1221292 2137261 2200744 2442584 3969199 4274522 7938398 8549044 15876796 17098088 27784393 31753592 55568786 111137572 222275144