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2240231040 = 27335129643
BaseRepresentation
bin1000010110000111…
…0011011010000000
312210010101112021000
42011201303122000
514041444343130
61010143532000
7106341435555
oct20541633200
95703345230
102240231040
11a4a608813
125262ba000
132991793c8
14173750a2c
15d1a17260
hex85873680

2240231040 has 128 divisors (see below), whose sum is σ = 7934212800. Its totient is φ = 597390336.

The previous prime is 2240231033. The next prime is 2240231057. The reversal of 2240231040 is 401320422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×22402310402 = 10037270225158963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 47542 + ... + 82101.

Almost surely, 22240231040 is an apocalyptic number.

2240231040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240231040 is an abundant number, since it is smaller than the sum of its proper divisors (5693981760).

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

2240231040 is a wasteful number, since it uses less digits than its factorization.

2240231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129671 (or 129653 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2240231040 is about 47331.0790073499. The cubic root of 2240231040 is about 1308.4715074789.

Adding to 2240231040 its reverse (401320422), we get a palindrome (2641551462).

The spelling of 2240231040 in words is "two billion, two hundred forty million, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 129643 259286 388929 518572 648215 777858 1037144 1166787 1296430 1555716 1944645 2074288 2333574 2592860 3111432 3500361 3889290 4148576 4667148 5185720 5833935 6222864 7000722 7778580 8297152 9334296 10371440 11667870 12445728 14001444 15557160 16594304 17501805 18668592 20742880 23335740 24891456 28002888 31114320 35003610 37337184 41485760 46671480 49782912 56005776 62228640 70007220 74674368 82971520 93342960 112011552 124457280 140014440 149348736 186685920 224023104 248914560 280028880 373371840 448046208 560057760 746743680 1120115520 2240231040