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114202350 = 2325219337
BaseRepresentation
bin1101100111010…
…01011011101110
321221220002011200
412303221123232
5213213433400
615155430330
72554463313
oct663513356
9257802150
10114202350
1159511a09
12322b53a6
131a877072
141124ad0a
15a05cb00
hex6ce96ee

114202350 has 144 divisors (see below), whose sum is σ = 332620080. Its totient is φ = 28071360.

The previous prime is 114202349. The next prime is 114202399. The reversal of 114202350 is 53202411.

114202350 is a `hidden beast` number, since 11 + 420 + 235 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 3086532 + ... + 3086568.

Almost surely, 2114202350 is an apocalyptic number.

114202350 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 114202350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166310040).

114202350 is an abundant number, since it is smaller than the sum of its proper divisors (218417730).

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

114202350 is a wasteful number, since it uses less digits than its factorization.

114202350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114202350 is about 10686.5499577740. The cubic root of 114202350 is about 485.1674767914.

Adding to 114202350 its reverse (53202411), we get a palindrome (167404761).

The spelling of 114202350 in words is "one hundred fourteen million, two hundred two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 37 38 45 50 57 74 75 90 95 111 114 150 171 185 190 222 225 285 333 342 361 370 450 475 555 570 666 703 722 855 925 950 1083 1110 1406 1425 1665 1710 1805 1850 2109 2166 2775 2850 3249 3330 3515 3610 4218 4275 5415 5550 6327 6498 6859 7030 8325 8550 9025 10545 10830 12654 13357 13718 16245 16650 17575 18050 20577 21090 26714 27075 31635 32490 34295 35150 40071 41154 52725 54150 61731 63270 66785 68590 80142 81225 102885 105450 120213 123462 133570 158175 162450 171475 200355 205770 240426 253783 308655 316350 333925 342950 400710 507566 514425 601065 617310 667850 761349 1001775 1028850 1202130 1268915 1522698 1543275 2003550 2284047 2537830 3005325 3086550 3806745 4568094 6010650 6344575 7613490 11420235 12689150 19033725 22840470 38067450 57101175 114202350