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114263400 = 23352375147
BaseRepresentation
bin1101100111110…
…00010101101000
321222000011220210
412303320111220
5213222412100
615201021120
72555136306
oct663702550
9258004823
10114263400
1159553869
12323247a0
131a898aa4
1411265276
15a070c50
hex6cf8568

114263400 has 96 divisors (see below), whose sum is σ = 363860640. Its totient is φ = 29640960.

The previous prime is 114263371. The next prime is 114263411. The reversal of 114263400 is 4362411.

It is a super-2 number, since 2×1142634002 = 26112249159120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19627 + ... + 24773.

It is an arithmetic number, because the mean of its divisors is an integer number (3790215).

Almost surely, 2114263400 is an apocalyptic number.

114263400 is a gapful number since it is divisible by the number (10) 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 114263400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181930320).

114263400 is an abundant number, since it is smaller than the sum of its proper divisors (249597240).

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

114263400 is a wasteful number, since it uses less digits than its factorization.

114263400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114263400 is about 10689.4059703989. The cubic root of 114263400 is about 485.2539145867.

The spelling of 114263400 in words is "one hundred fourteen million, two hundred sixty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5147 5550 7400 10294 11100 15441 20588 22200 25735 30882 41176 51470 61764 77205 102940 123528 128675 154410 190439 205880 257350 308820 380878 386025 514700 571317 617640 761756 772050 952195 1029400 1142634 1523512 1544100 1904390 2285268 2856585 3088200 3808780 4570536 4760975 5713170 7617560 9521950 11426340 14282925 19043900 22852680 28565850 38087800 57131700 114263400