Search a number
-
+
2151733014 = 2321925724481
BaseRepresentation
bin1000000001000000…
…1101011100010110
312112221212100210100
42000100031130112
513401320424024
6553303034530
7104215300044
oct20020153426
95487770710
102151733014
11a04662952
1250073ba46
13283a32002
14165ab5394
15c8d857c9
hex8040d716

2151733014 has 48 divisors (see below), whose sum is σ = 4926757680. Its totient is φ = 676823040.

The previous prime is 2151732997. The next prime is 2151733037. The reversal of 2151733014 is 4103371512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75654 + ... + 100134.

It is an arithmetic number, because the mean of its divisors is an integer number (102640785).

Almost surely, 22151733014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151733014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463378840).

2151733014 is an abundant number, since it is smaller than the sum of its proper divisors (2775024666).

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

2151733014 is a wasteful number, since it uses less digits than its factorization.

2151733014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24765 (or 24762 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2151733014 is about 46386.7762837643. The cubic root of 2151733014 is about 1291.0095684468.

The spelling of 2151733014 in words is "two billion, one hundred fifty-one million, seven hundred thirty-three thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 257 342 514 771 1542 2313 4626 4883 9766 14649 24481 29298 43947 48962 73443 87894 146886 220329 440658 465139 930278 1395417 2790834 4186251 6291617 8372502 12583234 18874851 37749702 56624553 113249106 119540723 239081446 358622169 717244338 1075866507 2151733014