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2145020416 = 2971154409
BaseRepresentation
bin111111111011010…
…0110101000000000
312112111020022211121
41333312212220000
513343111123131
6552503122024
7104104241560
oct17766465000
95474208747
102145020416
11a00898650
124ba443314
13282521866
14164c48da0
15c84ab911
hex7fda6a00

2145020416 has 80 divisors (see below), whose sum is σ = 5343497280. Its totient is φ = 835706880.

The previous prime is 2145020401. The next prime is 2145020419. The reversal of 2145020416 is 6140205412.

It is a happy number.

It is a super-2 number, since 2×21450204162 = 9202225170113626112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2145020419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12220 + ... + 66628.

It is an arithmetic number, because the mean of its divisors is an integer number (66793716).

Almost surely, 22145020416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671748640).

2145020416 is an abundant number, since it is smaller than the sum of its proper divisors (3198476864).

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

2145020416 is an equidigital number, since it uses as much as digits as its factorization.

2145020416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54445 (or 54429 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2145020416 is about 46314.3651149403. The cubic root of 2145020416 is about 1289.6656818486.

Adding to 2145020416 its reverse (6140205412), we get a palindrome (8285225828).

The spelling of 2145020416 in words is "two billion, one hundred forty-five million, twenty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1232 1408 1792 2464 2816 3584 4928 5632 9856 19712 39424 54409 108818 217636 380863 435272 598499 761726 870544 1196998 1523452 1741088 2393996 3046904 3482176 4189493 4787992 6093808 6964352 8378986 9575984 12187616 13928704 16757972 19151968 24375232 27857408 33515944 38303936 48750464 67031888 76607872 97500928 134063776 153215744 195001856 268127552 306431488 536255104 1072510208 2145020416