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2540153022 = 2311176533467
BaseRepresentation
bin1001011101100111…
…1010100010111110
320120000202010212120
42113121322202332
520200234344042
61100020143410
7116642641641
oct22731724276
96500663776
102540153022
111093939620
125aa837b66
1331634a834
141a1503a58
15ed00cdec
hex9767a8be

2540153022 has 64 divisors (see below), whose sum is σ = 5878842624. Its totient is φ = 723146240.

The previous prime is 2540153009. The next prime is 2540153027. The reversal of 2540153022 is 2203510452.

It is a junction number, because it is equal to n+sod(n) for n = 2540152983 and 2540153001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540153027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730933 + ... + 734399.

It is an arithmetic number, because the mean of its divisors is an integer number (91856916).

Almost surely, 22540153022 is an apocalyptic number.

2540153022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540153022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939421312).

2540153022 is an abundant number, since it is smaller than the sum of its proper divisors (3338689602).

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

2540153022 is a wasteful number, since it uses less digits than its factorization.

2540153022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2540153022 is about 50399.9307737620. The cubic root of 2540153022 is about 1364.4363887652.

Adding to 2540153022 its reverse (2203510452), we get a palindrome (4743663474).

The spelling of 2540153022 in words is "two billion, five hundred forty million, one hundred fifty-three thousand, twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 653 1122 1306 1959 3467 3918 6934 7183 10401 11101 14366 20802 21549 22202 33303 38137 43098 58939 66606 76274 114411 117878 122111 176817 228822 244222 353634 366333 648329 732666 1296658 1944987 2263951 3889974 4527902 6791853 13583706 24903461 38487167 49806922 74710383 76974334 115461501 149420766 230923002 423358837 846717674 1270076511 2540153022