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2215001440 = 25529539007
BaseRepresentation
bin1000010000000110…
…0011110101100000
312201100220201202101
42010001203311200
514014020021230
61003443100144
7105614126101
oct20401436540
95640821671
102215001440
11a37346403
12519971654
13293b84852
141702643a8
15ce6d1aca
hex84063d60

2215001440 has 96 divisors (see below), whose sum is σ = 5516138880. Its totient is φ = 839215104.

The previous prime is 2215001419. The next prime is 2215001443. The reversal of 2215001440 is 441005122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215001443) 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 15 ways as a sum of consecutive naturals, for example, 241417 + ... + 250423.

It is an arithmetic number, because the mean of its divisors is an integer number (57459780).

Almost surely, 22215001440 is an apocalyptic number.

2215001440 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 2215001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758069440).

2215001440 is an abundant number, since it is smaller than the sum of its proper divisors (3301137440).

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

2215001440 is a wasteful number, since it uses less digits than its factorization.

2215001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2215001440 is about 47063.8018013845. The cubic root of 2215001440 is about 1303.5409263867.

Adding to 2215001440 its reverse (441005122), we get a palindrome (2656006562).

The spelling of 2215001440 in words is "two billion, two hundred fifteen million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 53 58 80 106 116 145 160 212 232 265 290 424 464 530 580 848 928 1060 1160 1537 1696 2120 2320 3074 4240 4640 6148 7685 8480 9007 12296 15370 18014 24592 30740 36028 45035 49184 61480 72056 90070 122960 144112 180140 245920 261203 288224 360280 477371 522406 720560 954742 1044812 1306015 1441120 1909484 2089624 2386855 2612030 3818968 4179248 4773710 5224060 7637936 8358496 9547420 10448120 13843759 15275872 19094840 20896240 27687518 38189680 41792480 55375036 69218795 76379360 110750072 138437590 221500144 276875180 443000288 553750360 1107500720 2215001440