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253229152 = 25111794019
BaseRepresentation
bin11110001011111…
…11100001100000
3122122111101002111
433011333201200
51004311313102
641043325104
76163261261
oct1705774140
9578441074
10253229152
1111aa398a0
1270980794
1340603447
14258ba968
1517370cd7
hexf17f860

253229152 has 48 divisors (see below), whose sum is σ = 547041600. Its totient is φ = 114432640.

The previous prime is 253229143. The next prime is 253229153. The reversal of 253229152 is 251922352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253229153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60999 + ... + 65017.

It is an arithmetic number, because the mean of its divisors is an integer number (11396700).

Almost surely, 2253229152 is an apocalyptic number.

253229152 is a gapful number since it is divisible by the number (22) 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 253229152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273520800).

253229152 is an abundant number, since it is smaller than the sum of its proper divisors (293812448).

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

253229152 is a wasteful number, since it uses less digits than its factorization.

253229152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4211 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 253229152 is about 15913.1754216435. The cubic root of 253229152 is about 632.6612477697.

It can be divided in two parts, 2532 and 29152, that added together give a square (31684 = 1782).

The spelling of 253229152 in words is "two hundred fifty-three million, two hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 179 352 358 716 1432 1969 2864 3938 4019 5728 7876 8038 15752 16076 31504 32152 44209 63008 64304 88418 128608 176836 353672 707344 719401 1414688 1438802 2877604 5755208 7913411 11510416 15826822 23020832 31653644 63307288 126614576 253229152