Search a number
-
+
2169799740 = 22325312391627
BaseRepresentation
bin1000000101010100…
…1000010000111100
312121012212020200100
42001111020100330
513420432042430
6555150201100
7104524664523
oct20125102074
95535766610
102169799740
11a13882729
125067b3190
132876b9494
141682594ba
15ca753960
hex8154843c

2169799740 has 144 divisors (see below), whose sum is σ = 6826659840. Its totient is φ = 557262720.

The previous prime is 2169799739. The next prime is 2169799747. The reversal of 2169799740 is 479979612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2169799747) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1332807 + ... + 1334433.

It is an arithmetic number, because the mean of its divisors is an integer number (47407360).

Almost surely, 22169799740 is an apocalyptic number.

2169799740 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 2169799740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413329920).

2169799740 is an abundant number, since it is smaller than the sum of its proper divisors (4656860100).

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

2169799740 is a wasteful number, since it uses less digits than its factorization.

2169799740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 2169799740 is about 46581.1092611586. The cubic root of 2169799740 is about 1294.6127631755.

The spelling of 2169799740 in words is "two billion, one hundred sixty-nine million, seven hundred ninety-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 239 279 310 372 465 478 558 620 717 930 956 1116 1195 1395 1434 1627 1860 2151 2390 2790 2868 3254 3585 4302 4780 4881 5580 6508 7170 7409 8135 8604 9762 10755 14340 14643 14818 16270 19524 21510 22227 24405 29286 29636 32540 37045 43020 44454 48810 50437 58572 66681 73215 74090 88908 97620 100874 111135 133362 146430 148180 151311 201748 222270 252185 266724 292860 302622 333405 388853 444540 453933 504370 605244 666810 756555 777706 907866 1008740 1166559 1333620 1513110 1555412 1815732 1944265 2269665 2333118 3026220 3499677 3888530 4539330 4666236 5832795 6999354 7777060 9078660 11665590 12054443 13998708 17498385 23331180 24108886 34996770 36163329 48217772 60272215 69993540 72326658 108489987 120544430 144653316 180816645 216979974 241088860 361633290 433959948 542449935 723266580 1084899870 2169799740