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2115201440 = 255112352253
BaseRepresentation
bin111111000010011…
…0110100110100000
312110102010100220002
41332010312212200
513312442421230
6545520035132
7103262626022
oct17604664640
95412110802
102115201440
11995a81170
124b0462aa8
132792b10b1
14160cc6012
15c5a6b545
hex7e1369a0

2115201440 has 96 divisors (see below), whose sum is σ = 5688579456. Its totient is φ = 735708160.

The previous prime is 2115201427. The next prime is 2115201479. The reversal of 2115201440 is 441025112.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14354 + ... + 66606.

It is an arithmetic number, because the mean of its divisors is an integer number (59256036).

Almost surely, 22115201440 is an apocalyptic number.

2115201440 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 2115201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844289728).

2115201440 is an abundant number, since it is smaller than the sum of its proper divisors (3573378016).

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

2115201440 is a wasteful number, since it uses less digits than its factorization.

2115201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52302 (or 52294 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2115201440 is about 45991.3191809063. The cubic root of 2115201440 is about 1283.6616830406.

Adding to 2115201440 its reverse (441025112), we get a palindrome (2556226552).

The spelling of 2115201440 in words is "two billion, one hundred fifteen million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3680 4048 5060 8096 10120 20240 40480 52253 104506 209012 261265 418024 522530 574783 836048 1045060 1149566 1201819 1672096 2090120 2299132 2403638 2873915 4180240 4598264 4807276 5747830 6009095 8360480 9196528 9614552 11495660 12018190 13220009 18393056 19229104 22991320 24036380 26440018 38458208 45982640 48072760 52880036 66100045 91965280 96145520 105760072 132200090 192291040 211520144 264400180 423040288 528800360 1057600720 2115201440