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2125145214 = 2331723251401
BaseRepresentation
bin111111010101011…
…0010010001111110
312111002211120012000
41332222302101332
513323014121324
6550513123130
7103443302433
oct17652622176
95432746160
102125145214
119a0653065
124b38594a6
1327b38319a
14162353b8a
15c68829c9
hex7eab247e

2125145214 has 128 divisors (see below), whose sum is σ = 5251599360. Its totient is φ = 633600000.

The previous prime is 2125145213. The next prime is 2125145227. The reversal of 2125145214 is 4125415212.

It is a happy number.

2125145214 is a `hidden beast` number, since 2 + 125 + 14 + 521 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125145213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5299414 + ... + 5299814.

It is an arithmetic number, because the mean of its divisors is an integer number (41028120).

Almost surely, 22125145214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125145214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625799680).

2125145214 is an abundant number, since it is smaller than the sum of its proper divisors (3126454146).

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

2125145214 is a wasteful number, since it uses less digits than its factorization.

2125145214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2125145214 is about 46099.2973265320. The cubic root of 2125145214 is about 1285.6700798452.

The spelling of 2125145214 in words is "two billion, one hundred twenty-five million, one hundred forty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 251 306 391 401 414 459 502 621 753 782 802 918 1173 1203 1242 1506 2259 2346 2406 3519 3609 4267 4518 5773 6777 6817 7038 7218 8534 9223 10557 10827 11546 12801 13554 13634 17319 18446 20451 21114 21654 25602 27669 34638 38403 40902 51957 55338 61353 76806 83007 98141 100651 103914 115209 122706 155871 156791 166014 184059 196282 201302 230418 249021 294423 301953 311742 313582 368118 470373 498042 588846 603906 883269 905859 940746 1411119 1711067 1766538 1811718 2314973 2649807 2717577 2822238 3422134 4233357 4629946 5133201 5299614 5435154 6944919 8466714 10266402 13889838 15399603 20834757 30799206 39354541 41669514 46198809 62504271 78709082 92397618 118063623 125008542 236127246 354190869 708381738 1062572607 2125145214