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2154134700 = 22325210722369
BaseRepresentation
bin1000000001100101…
…0111110010101100
312120010101101021200
42000121113302230
513402424302300
6553430325500
7104244562044
oct20031276254
95503341250
102154134700
11a05a53313
125014b9890
13284393223
1416613c724
15c91ac200
hex80657cac

2154134700 has 108 divisors (see below), whose sum is σ = 6815423160. Its totient is φ = 569041920.

The previous prime is 2154134699. The next prime is 2154134701. The reversal of 2154134700 is 74314512.

2154134700 is a `hidden beast` number, since 21 + 541 + 34 + 70 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2154134699) and next prime (2154134701).

It is not an unprimeable number, because it can be changed into a prime (2154134701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85116 + ... + 107484.

It is an arithmetic number, because the mean of its divisors is an integer number (63105770).

Almost surely, 22154134700 is an apocalyptic number.

2154134700 is a gapful number since it is divisible by the number (20) 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 2154134700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407711580).

2154134700 is an abundant number, since it is smaller than the sum of its proper divisors (4661288460).

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

2154134700 is a wasteful number, since it uses less digits than its factorization.

2154134700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22496 (or 22486 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2154134700 is about 46412.6566789707. The cubic root of 2154134700 is about 1291.4897157992.

The spelling of 2154134700 in words is "two billion, one hundred fifty-four million, one hundred thirty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 107 150 180 214 225 300 321 428 450 535 642 900 963 1070 1284 1605 1926 2140 2675 3210 3852 4815 5350 6420 8025 9630 10700 16050 19260 22369 24075 32100 44738 48150 67107 89476 96300 111845 134214 201321 223690 268428 335535 402642 447380 559225 671070 805284 1006605 1118450 1342140 1677675 2013210 2236900 2393483 3355350 4026420 4786966 5033025 6710700 7180449 9573932 10066050 11967415 14360898 20132100 21541347 23934830 28721796 35902245 43082694 47869660 59837075 71804490 86165388 107706735 119674150 143608980 179511225 215413470 239348300 359022450 430826940 538533675 718044900 1077067350 2154134700