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114221052 = 2232112111367
BaseRepresentation
bin1101100111011…
…01111111111100
321221221000211100
412303231333330
5213220033202
615200053100
72554601661
oct663557774
9257830740
10114221052
1159524a70
1232304190
131a88272a
1411253a68
15a06341c
hex6cedffc

114221052 has 72 divisors (see below), whose sum is σ = 316697472. Its totient is φ = 34423200.

The previous prime is 114221047. The next prime is 114221057. The reversal of 114221052 is 250122411.

It is an interprime number because it is at equal distance from previous prime (114221047) and next prime (114221057).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114221057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82873 + ... + 84239.

It is an arithmetic number, because the mean of its divisors is an integer number (4398576).

Almost surely, 2114221052 is an apocalyptic number.

114221052 is a gapful number since it is divisible by the number (12) 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 114221052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158348736).

114221052 is an abundant number, since it is smaller than the sum of its proper divisors (202476420).

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

114221052 is a wasteful number, since it uses less digits than its factorization.

114221052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 114221052 is about 10687.4249471049. The cubic root of 114221052 is about 485.1939593372.

Adding to 114221052 its reverse (250122411), we get a palindrome (364343463).

The spelling of 114221052 in words is "one hundred fourteen million, two hundred twenty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 211 396 422 633 844 1266 1367 1899 2321 2532 2734 3798 4101 4642 5468 6963 7596 8202 9284 12303 13926 15037 16404 20889 24606 27852 30074 41778 45111 49212 60148 83556 90222 135333 180444 270666 288437 541332 576874 865311 1153748 1730622 2595933 3172807 3461244 5191866 6345614 9518421 10383732 12691228 19036842 28555263 38073684 57110526 114221052