Search a number
-
+
2321355540 = 223579116067
BaseRepresentation
bin1000101001011101…
…0001001100010100
312222210001002011010
42022113101030110
514223231334130
61022202412220
7111345124260
oct21227211424
95883032133
102321355540
11a91387859
12549501070
132acc1157a
1418042b0a0
15d8bde0b0
hex8a5d1314

2321355540 has 96 divisors (see below), whose sum is σ = 7437717504. Its totient is φ = 529925760.

The previous prime is 2321355527. The next prime is 2321355551. The reversal of 2321355540 is 455531232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2321355498 and 2321355507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379587 + ... + 385653.

It is an arithmetic number, because the mean of its divisors is an integer number (77476224).

Almost surely, 22321355540 is an apocalyptic number.

2321355540 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 2321355540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718858752).

2321355540 is an abundant number, since it is smaller than the sum of its proper divisors (5116361964).

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

2321355540 is a wasteful number, since it uses less digits than its factorization.

2321355540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2321355540 is about 48180.4476940595. The cubic root of 2321355540 is about 1324.0789687993.

Adding to 2321355540 its reverse (455531232), we get a palindrome (2776886772).

The spelling of 2321355540 in words is "two billion, three hundred twenty-one million, three hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 911 1822 2733 3644 4555 5466 6067 6377 9110 10932 12134 12754 13665 18201 18220 19131 24268 25508 27330 30335 31885 36402 38262 42469 54660 60670 63770 72804 76524 84938 91005 95655 121340 127407 127540 169876 182010 191310 212345 254814 364020 382620 424690 509628 637035 849380 1274070 2548140 5527037 11054074 16581111 22108148 27635185 33162222 38689259 55270370 66324444 77378518 82905555 110540740 116067777 154757036 165811110 193446295 232135554 331622220 386892590 464271108 580338885 773785180 1160677770 2321355540