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114454452 = 223741167199
BaseRepresentation
bin1101101001001…
…10111110110100
321222100212222210
412310212332310
5213300020302
615205053420
72556563310
oct664467664
9258325883
10114454452
1159674362
12323b7270
131a934a38
14112b4b40
15a0ac66c
hex6d26fb4

114454452 has 96 divisors (see below), whose sum is σ = 316108800. Its totient is φ = 31553280.

The previous prime is 114454451. The next prime is 114454453. The reversal of 114454452 is 254454411.

It is an interprime number because it is at equal distance from previous prime (114454451) and next prime (114454453).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114454451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575049 + ... + 575247.

It is an arithmetic number, because the mean of its divisors is an integer number (3292800).

Almost surely, 2114454452 is an apocalyptic number.

114454452 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 114454452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158054400).

114454452 is an abundant number, since it is smaller than the sum of its proper divisors (201654348).

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

114454452 is a wasteful number, since it uses less digits than its factorization.

114454452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 114454452 is about 10698.3387495442. The cubic root of 114454452 is about 485.5242172622.

The spelling of 114454452 in words is "one hundred fourteen million, four hundred fifty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 167 199 246 287 334 398 492 501 574 597 668 796 861 1002 1148 1169 1194 1393 1722 2004 2338 2388 2786 3444 3507 4179 4676 5572 6847 7014 8159 8358 13694 14028 16318 16716 20541 24477 27388 32636 33233 41082 47929 48954 57113 66466 82164 95858 97908 99699 114226 132932 143787 171339 191716 199398 228452 232631 287574 342678 398796 465262 575148 685356 697893 930524 1362553 1395786 2725106 2791572 4087659 5450212 8175318 9537871 16350636 19075742 28613613 38151484 57227226 114454452