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134224200 = 233252116779
BaseRepresentation
bin10000000000000…
…01100101001000
3100100120021222200
420000001211020
5233330133300
621152520200
73216613125
oct1000014510
9310507880
10134224200
11698476a0
1238b50060
1321a67406
1413b7d74c
15bbb5200
hex8001948

134224200 has 144 divisors (see below), whose sum is σ = 491821200. Its totient is φ = 32534400.

The previous prime is 134224187. The next prime is 134224213. The reversal of 134224200 is 2422431.

It is an interprime number because it is at equal distance from previous prime (134224187) and next prime (134224213).

It is a super-2 number, since 2×1342242002 = 36032271731280000, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16411 + ... + 23189.

It is an arithmetic number, because the mean of its divisors is an integer number (3415425).

Almost surely, 2134224200 is an apocalyptic number.

134224200 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 134224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245910600).

134224200 is an abundant number, since it is smaller than the sum of its proper divisors (357597000).

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

134224200 is a wasteful number, since it uses less digits than its factorization.

134224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 134224200 is about 11585.5168205825. The cubic root of 134224200 is about 512.0082294413.

Adding to 134224200 its reverse (2422431), we get a palindrome (136646631).

The spelling of 134224200 in words is "one hundred thirty-four million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 6779 9900 13558 19800 20337 27116 33895 40674 54232 61011 67790 74569 81348 101685 122022 135580 149138 162696 169475 203370 223707 244044 271160 298276 305055 338950 372845 406740 447414 488088 508425 596552 610110 671121 677900 745690 813480 894828 1016850 1118535 1220220 1342242 1355800 1491380 1525275 1789656 1864225 2033700 2237070 2440440 2684484 2982760 3050550 3355605 3728450 4067400 4474140 5368968 5592675 6101100 6711210 7456900 8948280 11185350 12202200 13422420 14913800 16778025 22370700 26844840 33556050 44741400 67112100 134224200