Search a number
-
+
222953472 = 217357
BaseRepresentation
bin11010100101000…
…00000000000000
3120112112012200000
431102200000000
5424034002342
634042400000
75345034060
oct1522400000
9515465600
10222953472
11104940275
1262800000
1337262b41
14218793a0
151489044c
hexd4a0000

222953472 has 216 divisors, whose sum is σ = 763360416. Its totient is φ = 63700992.

The previous prime is 222953443. The next prime is 222953473. The reversal of 222953472 is 274359222.

222953472 is a `hidden beast` number, since 22 + 295 + 347 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

Its product of digits (60480) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (222953473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31850493 + ... + 31850499.

It is an arithmetic number, because the mean of its divisors is an integer number (3534076).

Almost surely, 2222953472 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 222953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381680208).

222953472 is an abundant number, since it is smaller than the sum of its proper divisors (540406944).

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

222953472 is an frugal number, since it uses more digits than its factorization.

222953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 12 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 222953472 is about 14931.6265691317. The cubic root of 222953472 is about 606.3705213750.

The spelling of 222953472 in words is "two hundred twenty-two million, nine hundred fifty-three thousand, four hundred seventy-two".