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2232343232240 = 2451110125116373
BaseRepresentation
bin100000011111000010000…
…001100111111011110000
321220102001211121222011212
4200133002001213323300
5243033314331412430
64425305130455252
7320165355251552
oct40370201477360
97812054558155
102232343232240
11790805615090
12300787294528
13132680549594
147a09029d4d2
153d105b3bb95
hex207c2067ef0

2232343232240 has 80 divisors (see below), whose sum is σ = 5718094170336. Its totient is φ = 803723904000.

The previous prime is 2232343232201. The next prime is 2232343232261. The reversal of 2232343232240 is 422323432322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22323432322403 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232343232197 and 2232343232206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12469307 + ... + 12647066.

Almost surely, 22232343232240 is an apocalyptic number.

2232343232240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232343232240 is an abundant number, since it is smaller than the sum of its proper divisors (3485750938096).

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

2232343232240 is a wasteful number, since it uses less digits than its factorization.

2232343232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25116498 (or 25116492 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 2232343232240 its reverse (422323432322), we get a palindrome (2654666664562).

The spelling of 2232343232240 in words is "two trillion, two hundred thirty-two billion, three hundred forty-three million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 25116373 50232746 100465492 125581865 200930984 251163730 276280103 401861968 502327460 552560206 1004654920 1105120412 1381400515 2009309840 2210240824 2536753673 2762801030 4420481648 5073507346 5525602060 10147014692 11051204120 12683768365 20294029384 22102408240 25367536730 27904290403 40588058768 50735073460 55808580806 101470146920 111617161612 139521452015 202940293840 223234323224 279042904030 446468646448 558085808060 1116171616120 2232343232240