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2240003040 = 253511424243
BaseRepresentation
bin1000010110000011…
…1011101111100000
312210002221221111120
42011200323233200
514041420044130
61010135012240
7106336466052
oct20540735740
95702857446
102240003040
11a4a472490
1252620a080
132990c96b2
141736d18d2
15d19be910
hex8583bbe0

2240003040 has 96 divisors (see below), whose sum is σ = 7697483136. Its totient is φ = 543029760.

The previous prime is 2240003023. The next prime is 2240003041. The reversal of 2240003040 is 403000422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22400030402 = 10035227238418483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240003041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206842 + ... + 217401.

It is an arithmetic number, because the mean of its divisors is an integer number (80182116).

Almost surely, 22240003040 is an apocalyptic number.

2240003040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240003040 is an abundant number, since it is smaller than the sum of its proper divisors (5457480096).

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

2240003040 is a wasteful number, since it uses less digits than its factorization.

2240003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424272 (or 424264 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2240003040 is about 47328.6703806477. The cubic root of 2240003040 is about 1308.4271159824.

Adding to 2240003040 its reverse (403000422), we get a palindrome (2643003462).

The spelling of 2240003040 in words is "two billion, two hundred forty million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 424243 848486 1272729 1696972 2121215 2545458 3393944 4242430 4666673 5090916 6363645 6787888 8484860 9333346 10181832 12727290 13575776 14000019 16969720 18666692 20363664 23333365 25454580 28000038 33939440 37333384 40727328 46666730 50909160 56000076 67878880 70000095 74666768 93333460 101818320 112000152 140000190 149333536 186666920 203636640 224000304 280000380 373333840 448000608 560000760 746667680 1120001520 2240003040