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2315440242 = 23437478219
BaseRepresentation
bin1000101000000010…
…1101000001110010
312222100220112220000
42022000231001302
514220223041432
61021431530430
7111243626433
oct21200550162
95870815800
102315440242
11a89007585
12547529a16
132ab91ccab
1417d72b48a
15d842157c
hex8a02d072

2315440242 has 80 divisors (see below), whose sum is σ = 5442560640. Its totient is φ = 734886432.

The previous prime is 2315440229. The next prime is 2315440247. The reversal of 2315440242 is 2420445132.

It is a super-2 number, since 2×23154402422 = 10722527028546037128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2315440247) 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 39 ways as a sum of consecutive naturals, for example, 277609 + ... + 285827.

It is an arithmetic number, because the mean of its divisors is an integer number (68032008).

Almost surely, 22315440242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2315440242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721280320).

2315440242 is an abundant number, since it is smaller than the sum of its proper divisors (3127120398).

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

2315440242 is a wasteful number, since it uses less digits than its factorization.

2315440242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2315440242 is about 48119.0216234703. The cubic root of 2315440242 is about 1322.9533356981.

Adding to 2315440242 its reverse (2420445132), we get a palindrome (4735885374).

The spelling of 2315440242 in words is "two billion, three hundred fifteen million, four hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 47 54 74 81 94 111 141 162 222 282 333 423 666 846 999 1269 1739 1998 2538 2997 3478 3807 5217 5994 7614 8219 10434 15651 16438 24657 31302 46953 49314 73971 93906 140859 147942 221913 281718 304103 386293 443826 608206 665739 772586 912309 1158879 1331478 1824618 2317758 2736927 3476637 5473854 6953274 8210781 10429911 14292841 16421562 20859822 24632343 28585682 31289733 42878523 49264686 62579466 85757046 128635569 257271138 385906707 771813414 1157720121 2315440242