Search a number
-
+
222887952 = 243271713007
BaseRepresentation
bin11010100100100…
…00000000010000
3120112101212210100
431102100000100
5424024403302
634041132400
75344342050
oct1522200020
9515355710
10222887952
111048a6021
126278a100
133723c081
142185d560
151487ad1c
hexd490010

222887952 has 120 divisors (see below), whose sum is σ = 754880256. Its totient is φ = 59931648.

The previous prime is 222887947. The next prime is 222887971. The reversal of 222887952 is 259788222.

It is a junction number, because it is equal to n+sod(n) for n = 222887898 and 222887907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10633 + ... + 23639.

Almost surely, 2222887952 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 222887952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377440128).

222887952 is an abundant number, since it is smaller than the sum of its proper divisors (531992304).

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

222887952 is a wasteful number, since it uses less digits than its factorization.

222887952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13045 (or 13036 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 222887952 is about 14929.4324071614. The cubic root of 222887952 is about 606.3111169192.

The spelling of 222887952 in words is "two hundred twenty-two million, eight hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 13007 17136 26014 39021 52028 78042 91049 104056 117063 156084 182098 208112 221119 234126 273147 312168 364196 442238 468252 546294 624336 663357 728392 819441 884476 936504 1092588 1326714 1456784 1547833 1638882 1768952 1873008 1990071 2185176 2653428 3095666 3277764 3537904 3980142 4370352 4643499 5306856 6191332 6555528 7960284 9286998 10613712 12382664 13111056 13930497 15920568 18573996 24765328 27860994 31841136 37147992 55721988 74295984 111443976 222887952