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114226000 = 2453741199
BaseRepresentation
bin1101100111011…
…11001101010000
321221221021121121
412303233031100
5213220213000
615200132024
72554622260
oct663571520
9257837547
10114226000
1159528759
1232307014
131a884a65
14112557a0
15a064b1a
hex6cef350

114226000 has 160 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 38016000.

The previous prime is 114225997. The next prime is 114226003. The reversal of 114226000 is 622411.

It is an interprime number because it is at equal distance from previous prime (114225997) and next prime (114226003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114226003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573901 + ... + 574099.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2114226000 is an apocalyptic number.

114226000 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 114226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

114226000 is an abundant number, since it is smaller than the sum of its proper divisors (210753200).

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

114226000 is a wasteful number, since it uses less digits than its factorization.

114226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114226000 is about 10687.6564316037. The cubic root of 114226000 is about 485.2009653576.

Adding to 114226000 its reverse (622411), we get a palindrome (114848411).

The spelling of 114226000 in words is "one hundred fourteen million, two hundred twenty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 41 50 56 70 80 82 100 112 125 140 164 175 199 200 205 250 280 287 328 350 398 400 410 500 560 574 656 700 796 820 875 995 1000 1025 1148 1393 1400 1435 1592 1640 1750 1990 2000 2050 2296 2786 2800 2870 3184 3280 3500 3980 4100 4592 4975 5125 5572 5740 6965 7000 7175 7960 8159 8200 9950 10250 11144 11480 13930 14000 14350 15920 16318 16400 19900 20500 22288 22960 24875 27860 28700 32636 34825 35875 39800 40795 41000 49750 55720 57113 57400 65272 69650 71750 79600 81590 82000 99500 111440 114226 114800 130544 139300 143500 163180 174125 199000 203975 228452 278600 285565 287000 326360 348250 398000 407950 456904 557200 571130 574000 652720 696500 815900 913808 1019875 1142260 1393000 1427825 1631800 2039750 2284520 2786000 2855650 3263600 4079500 4569040 5711300 7139125 8159000 11422600 14278250 16318000 22845200 28556500 57113000 114226000