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114553350 = 23252277919
BaseRepresentation
bin1101101001111…
…11001000000110
321222112220122200
412310333020012
5213311201400
615211135330
72560454532
oct664771006
9258486580
10114553350
115973169a
1232444546
131a96aa62
14112dcbc2
15a0cbb00
hex6d3f206

114553350 has 72 divisors (see below), whose sum is σ = 309213840. Its totient is φ = 30404160.

The previous prime is 114553321. The next prime is 114553367. The reversal of 114553350 is 53355411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124191 + ... + 125109.

Almost surely, 2114553350 is an apocalyptic number.

114553350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114553350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154606920).

114553350 is an abundant number, since it is smaller than the sum of its proper divisors (194660490).

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

114553350 is a wasteful number, since it uses less digits than its factorization.

114553350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 114553350 is about 10702.9598709890. The cubic root of 114553350 is about 485.6640212032.

The spelling of 114553350 in words is "one hundred fourteen million, five hundred fifty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 277 450 554 831 919 1385 1662 1838 2493 2757 2770 4155 4595 4986 5514 6925 8271 8310 9190 12465 13785 13850 16542 20775 22975 24930 27570 41355 41550 45950 62325 68925 82710 124650 137850 206775 254563 413550 509126 763689 1272815 1527378 2291067 2545630 3818445 4582134 6364075 7636890 11455335 12728150 19092225 22910670 38184450 57276675 114553350