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2240001400 = 2352713123077
BaseRepresentation
bin1000010110000011…
…1011010101111000
312210002221212020211
42011200323111320
514041420021100
61010135000504
7106336461220
oct20540732570
95702855224
102240001400
11a4a47122a
12526209134
132990c8a20
141736d1080
15d19be1ba
hex8583b578

2240001400 has 96 divisors (see below), whose sum is σ = 6409902240. Its totient is φ = 708917760.

The previous prime is 2240001397. The next prime is 2240001443. The reversal of 2240001400 is 41000422.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43339 + ... + 79738.

It is an arithmetic number, because the mean of its divisors is an integer number (66769815).

Almost surely, 22240001400 is an apocalyptic number.

2240001400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240001400 is an abundant number, since it is smaller than the sum of its proper divisors (4169900840).

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

2240001400 is a wasteful number, since it uses less digits than its factorization.

2240001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123113 (or 123104 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2240001400 is about 47328.6530549941. The cubic root of 2240001400 is about 1308.4267966642.

Adding to 2240001400 its reverse (41000422), we get a palindrome (2281001822).

The spelling of 2240001400 in words is "two billion, two hundred forty million, one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 123077 246154 492308 615385 861539 984616 1230770 1600001 1723078 2461540 3076925 3200002 3446156 4307695 4923080 6153850 6400004 6892312 8000005 8615390 11200007 12307700 12800008 16000010 17230780 21538475 22400014 24615400 32000020 34461560 40000025 43076950 44800028 56000035 64000040 80000050 86153900 89600056 112000070 160000100 172307800 224000140 280000175 320000200 448000280 560000350 1120000700 2240001400