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2152002440 = 235717942937
BaseRepresentation
bin1000000001000100…
…1111001110001000
312112222101001101002
42000101033032020
513401403034230
6553312514132
7104220501410
oct20021171610
95488331332
102152002440
11a04827315
1250084b948
13283ac7833
14165b45640
15c8dda545
hex8044f388

2152002440 has 64 divisors (see below), whose sum is σ = 5564764800. Its totient is φ = 733690368.

The previous prime is 2152002431. The next prime is 2152002451. The reversal of 2152002440 is 442002512.

It is a happy number.

It is a super-2 number, since 2×21520024402 = 9262229003531907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 28652 + ... + 71588.

It is an arithmetic number, because the mean of its divisors is an integer number (86949450).

Almost surely, 22152002440 is an apocalyptic number.

2152002440 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 2152002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782382400).

2152002440 is an abundant number, since it is smaller than the sum of its proper divisors (3412762360).

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

2152002440 is a wasteful number, since it uses less digits than its factorization.

2152002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43134 (or 43130 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2152002440 is about 46389.6803179328. The cubic root of 2152002440 is about 1291.0634501358.

Adding to 2152002440 its reverse (442002512), we get a palindrome (2594004952).

The spelling of 2152002440 in words is "two billion, one hundred fifty-two million, two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 179 280 358 716 895 1253 1432 1790 2506 3580 5012 6265 7160 10024 12530 25060 42937 50120 85874 171748 214685 300559 343496 429370 601118 858740 1202236 1502795 1717480 2404472 3005590 6011180 7685723 12022360 15371446 30742892 38428615 53800061 61485784 76857230 107600122 153714460 215200244 269000305 307428920 430400488 538000610 1076001220 2152002440