Search a number
-
+
253333332 = 223872197
BaseRepresentation
bin11110001100110…
…00111101010100
3122122200200000000
433012120331110
51004323131312
641045451300
76164204100
oct1706307524
9578620000
10253333332
1112000009a
1270a10b30
134063b9a5
1425906900
1517391adc
hexf198f54

253333332 has 162 divisors, whose sum is σ = 777458682. Its totient is φ = 72013536.

The previous prime is 253333319. The next prime is 253333343. The reversal of 253333332 is 233333352.

It can be written as a sum of positive squares in only one way, i.e., 252047376 + 1285956 = 15876^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 253333296 and 253333305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1285858 + ... + 1286054.

Almost surely, 2253333332 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 253333332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388729341).

253333332 is an abundant number, since it is smaller than the sum of its proper divisors (524125350).

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

253333332 is an equidigital number, since it uses as much as digits as its factorization.

253333332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 209 counting only the distinct ones).

The product of its digits is 14580, while the sum is 27.

The square root of 253333332 is about 15916.4484731990. The cubic root of 253333332 is about 632.7479960919.

Adding to 253333332 its reverse (233333352), we get a palindrome (486666684).

The spelling of 253333332 in words is "two hundred fifty-three million, three hundred thirty-three thousand, three hundred thirty-two".