Search a number
-
+
222275376 = 243219137593
BaseRepresentation
bin11010011111110…
…10011100110000
3120111020202111100
431033322130300
5423400303001
634020044400
75336211111
oct1517723460
9514222440
10222275376
11104517864
1262533700
13370862bb
1421740208
15147a9586
hexd3fa730

222275376 has 120 divisors (see below), whose sum is σ = 660694320. Its totient is φ = 69562368.

The previous prime is 222275359. The next prime is 222275387. The reversal of 222275376 is 673572222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 222275376.

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, 374536 + ... + 375128.

It is an arithmetic number, because the mean of its divisors is an integer number (5505786).

Almost surely, 2222275376 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 222275376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330347160).

222275376 is an abundant number, since it is smaller than the sum of its proper divisors (438418944).

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

222275376 is a wasteful number, since it uses less digits than its factorization.

222275376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 754 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 222275376 is about 14908.9025753071. The cubic root of 222275376 is about 605.7551538395.

The spelling of 222275376 in words is "two hundred twenty-two million, two hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 137 144 152 171 228 274 304 342 411 456 548 593 684 822 912 1096 1186 1233 1368 1644 1779 2192 2372 2466 2603 2736 3288 3558 4744 4932 5206 5337 6576 7116 7809 9488 9864 10412 10674 11267 14232 15618 19728 20824 21348 22534 23427 28464 31236 33801 41648 42696 45068 46854 62472 67602 81241 85392 90136 93708 101403 124944 135204 162482 180272 187416 202806 243723 270408 324964 374832 405612 487446 540816 649928 731169 811224 974892 1299856 1462338 1543579 1622448 1949784 2924676 3087158 3899568 4630737 5849352 6174316 9261474 11698704 12348632 13892211 18522948 24697264 27784422 37045896 55568844 74091792 111137688 222275376