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2146421310 = 2351179281293
BaseRepresentation
bin111111111101111…
…1100101000111110
312112120212111111120
41333323330220332
513343440440220
6552553131410
7104122165035
oct17773745076
95476774446
102146421310
11a01665110
124ba9b9b66
132828c23a7
141650d171c
15c8686a40
hex7fefca3e

2146421310 has 128 divisors (see below), whose sum is σ = 5730600960. Its totient is φ = 510182400.

The previous prime is 2146421297. The next prime is 2146421323. The reversal of 2146421310 is 131246412.

It is an interprime number because it is at equal distance from previous prime (2146421297) and next prime (2146421323).

It is a super-2 number, since 2×21464213102 = 9214248880044232200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7325524 + ... + 7325816.

It is an arithmetic number, because the mean of its divisors is an integer number (44770320).

Almost surely, 22146421310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146421310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865300480).

2146421310 is an abundant number, since it is smaller than the sum of its proper divisors (3584179650).

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

2146421310 is a wasteful number, since it uses less digits than its factorization.

2146421310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2146421310 is about 46329.4863990526. The cubic root of 2146421310 is about 1289.9463771953.

Adding to 2146421310 its reverse (131246412), we get a palindrome (2277667722).

The spelling of 2146421310 in words is "two billion, one hundred forty-six million, four hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 158 165 237 281 293 330 395 474 562 586 790 843 869 879 1185 1405 1465 1686 1738 1758 2370 2607 2810 2930 3091 3223 4215 4345 4395 5214 6182 6446 8430 8690 8790 9273 9669 13035 15455 16115 18546 19338 22199 23147 26070 30910 32230 44398 46294 46365 48345 66597 69441 82333 92730 96690 110995 115735 133194 138882 164666 221990 231470 244189 246999 254617 332985 347205 411665 488378 493998 509234 665970 694410 732567 763851 823330 905663 1220945 1234995 1273085 1465134 1527702 1811326 2441890 2469990 2546170 2716989 3662835 3819255 4528315 5433978 6504307 7325670 7638510 9056630 13008614 13584945 19512921 27169890 32521535 39025842 65043070 71547377 97564605 143094754 195129210 214642131 357736885 429284262 715473770 1073210655 2146421310