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114226100 = 22521979761
BaseRepresentation
bin1101100111011…
…11001110110100
321221221021202022
412303233032310
5213220213400
615200132312
72554622462
oct663571664
9257837668
10114226100
115952883a
1232307098
131a884b11
1411255832
15a064b85
hex6cef3b4

114226100 has 72 divisors (see below), whose sum is σ = 264566400. Its totient is φ = 42681600.

The previous prime is 114226087. The next prime is 114226109. The reversal of 114226100 is 1622411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114226109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 149720 + ... + 150480.

Almost surely, 2114226100 is an apocalyptic number.

114226100 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 114226100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132283200).

114226100 is an abundant number, since it is smaller than the sum of its proper divisors (150340300).

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

114226100 is a wasteful number, since it uses less digits than its factorization.

114226100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 114226100 is about 10687.6611098968. The cubic root of 114226100 is about 485.2011069484.

Adding to 114226100 its reverse (1622411), we get a palindrome (115848511).

The spelling of 114226100 in words is "one hundred fourteen million, two hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 79 95 100 158 190 316 380 395 475 761 790 950 1501 1522 1580 1900 1975 3002 3044 3805 3950 6004 7505 7610 7900 14459 15010 15220 19025 28918 30020 37525 38050 57836 60119 72295 75050 76100 120238 144590 150100 240476 289180 300595 361475 601190 722950 1142261 1202380 1445900 1502975 2284522 3005950 4569044 5711305 6011900 11422610 22845220 28556525 57113050 114226100