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114226400 = 25521737227
BaseRepresentation
bin1101100111011…
…11010011100000
321221221022011102
412303233103200
5213220221100
615200133532
72554623401
oct663572340
9257838142
10114226400
1159528a92
12323072a8
131a884cb2
14112559a8
15a064cd5
hex6cef4e0

114226400 has 144 divisors (see below), whose sum is σ = 304574256. Its totient is φ = 41656320.

The previous prime is 114226393. The next prime is 114226429. The reversal of 114226400 is 4622411.

Adding to 114226400 its reverse (4622411), we get a palindrome (118848811).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 503087 + ... + 503313.

It is an arithmetic number, because the mean of its divisors is an integer number (2115099).

Almost surely, 2114226400 is an apocalyptic number.

114226400 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 114226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152287128).

114226400 is an abundant number, since it is smaller than the sum of its proper divisors (190347856).

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

114226400 is a wasteful number, since it uses less digits than its factorization.

114226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 114226400 is about 10687.6751447637. The cubic root of 114226400 is about 485.2015317206.

The spelling of 114226400 in words is "one hundred fourteen million, two hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 37 40 50 68 74 80 85 100 136 148 160 170 185 200 227 272 296 340 370 400 425 454 544 592 629 680 740 800 850 908 925 1135 1184 1258 1360 1480 1700 1816 1850 2270 2516 2720 2960 3145 3400 3632 3700 3859 4540 5032 5675 5920 6290 6800 7264 7400 7718 8399 9080 10064 11350 12580 13600 14800 15436 15725 16798 18160 19295 20128 22700 25160 29600 30872 31450 33596 36320 38590 41995 45400 50320 61744 62900 67192 77180 83990 90800 96475 100640 123488 125800 134384 142783 154360 167980 181600 192950 209975 251600 268768 285566 308720 335960 385900 419950 503200 571132 617440 671920 713915 771800 839900 1142264 1343840 1427830 1543600 1679800 2284528 2855660 3087200 3359600 3569575 4569056 5711320 6719200 7139150 11422640 14278300 22845280 28556600 57113200 114226400