Search a number
-
+
2055514300 = 2252725111699
BaseRepresentation
bin111101010000100…
…1010100010111100
312022020210221112021
41322201022202330
513202202424200
6535544445524
7101636404030
oct17241124274
95266727467
102055514300
11965314354
124944798a4
13269b13668
14156dca1c0
15c06cb41a
hex7a84a8bc

2055514300 has 72 divisors (see below), whose sum is σ = 5118422400. Its totient is φ = 701880000.

The previous prime is 2055514291. The next prime is 2055514333. The reversal of 2055514300 is 34155502.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 169851 + ... + 181549.

It is an arithmetic number, because the mean of its divisors is an integer number (71089200).

Almost surely, 22055514300 is an apocalyptic number.

2055514300 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 2055514300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559211200).

2055514300 is an abundant number, since it is smaller than the sum of its proper divisors (3062908100).

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

2055514300 is a wasteful number, since it uses less digits than its factorization.

2055514300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11971 (or 11964 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2055514300 is about 45337.7800515199. The cubic root of 2055514300 is about 1271.4720979322.

Adding to 2055514300 its reverse (34155502), we get a palindrome (2089669802).

The spelling of 2055514300 in words is "two billion, fifty-five million, five hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 251 350 502 700 1004 1255 1757 2510 3514 5020 6275 7028 8785 11699 12550 17570 23398 25100 35140 43925 46796 58495 81893 87850 116990 163786 175700 233980 292475 327572 409465 584950 818930 1169900 1637860 2047325 2936449 4094650 5872898 8189300 11745796 14682245 20555143 29364490 41110286 58728980 73411225 82220572 102775715 146822450 205551430 293644900 411102860 513878575 1027757150 2055514300