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253411224 = 233113725943
BaseRepresentation
bin11110001101010…
…11111110011000
3122122211121211220
433012223332120
51004333124344
641051252040
76164650143
oct1706537630
9578747756
10253411224
11120053670
1270a4a020
1340668291
142592705a
15173a9c19
hexf1abf98

253411224 has 64 divisors (see below), whose sum is σ = 709827840. Its totient is φ = 74712960.

The previous prime is 253411199. The next prime is 253411241. The reversal of 253411224 is 422114352.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 253411194 and 253411203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3204 + ... + 22739.

It is an arithmetic number, because the mean of its divisors is an integer number (11091060).

Almost surely, 2253411224 is an apocalyptic number.

253411224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253411224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354913920).

253411224 is an abundant number, since it is smaller than the sum of its proper divisors (456416616).

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

253411224 is a wasteful number, since it uses less digits than its factorization.

253411224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26000 (or 25996 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 253411224 is about 15918.8951877949. The cubic root of 253411224 is about 632.8128394560.

Adding to 253411224 its reverse (422114352), we get a palindrome (675525576).

It can be divided in two parts, 25341 and 1224, that added together give a triangular number (26565 = T230).

The spelling of 253411224 in words is "two hundred fifty-three million, four hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 25943 51886 77829 103772 155658 207544 285373 311316 570746 622632 856119 959891 1141492 1712238 1919782 2282984 2879673 3424476 3839564 5759346 6848952 7679128 10558801 11518692 21117602 23037384 31676403 42235204 63352806 84470408 126705612 253411224