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2231251253440 = 26511809783533
BaseRepresentation
bin100000011110000000111…
…100000011100011000000
321220022020201212200212121
4200132000330003203000
5243024100310102230
64425004521534024
7320126325504106
oct40360074034300
97808221780777
102231251253440
117902a5189270
12300521644314
13132538246891
1479dc924bc76
153d08ed3c77a
hex20780f038c0

2231251253440 has 112 divisors (see below), whose sum is σ = 5803354265760. Its totient is φ = 810360135680.

The previous prime is 2231251253323. The next prime is 2231251253501. The reversal of 2231251253440 is 443521521322.

It is a super-3 number, since 3×22312512534403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2231251253396 and 2231251253405.

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, 2455914 + ... + 3239446.

Almost surely, 22231251253440 is an apocalyptic number.

2231251253440 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 2231251253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901677132880).

2231251253440 is an abundant number, since it is smaller than the sum of its proper divisors (3572103012320).

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

2231251253440 is a wasteful number, since it uses less digits than its factorization.

2231251253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784370 (or 784360 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 2231251253440 its reverse (443521521322), we get a palindrome (2674772774762).

The spelling of 2231251253440 in words is "two trillion, two hundred thirty-one billion, two hundred fifty-one million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 809 880 1618 1760 3236 3520 4045 6472 8090 8899 12944 16180 17798 25888 32360 35596 44495 51776 64720 71192 88990 129440 142384 177980 258880 284768 355960 569536 711920 783533 1423840 1567066 2847680 3134132 3917665 6268264 7835330 8618863 12536528 15670660 17237726 25073056 31341320 34475452 43094315 50146112 62682640 68950904 86188630 125365280 137901808 172377260 250730560 275803616 344754520 551607232 633878197 689509040 1267756394 1379018080 2535512788 2758036160 3169390985 5071025576 6338781970 6972660167 10142051152 12677563940 13945320334 20284102304 25355127880 27890640668 34863300835 40568204608 50710255760 55781281336 69726601670 101420511520 111562562672 139453203340 202841023040 223125125344 278906406680 446250250688 557812813360 1115625626720 2231251253440