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2256243552 = 253313918787
BaseRepresentation
bin1000011001111011…
…1000101101100000
312211020112001022000
42012132320231200
514110044243202
61011515044000
7106624516353
oct20636705540
95736461260
102256243552
11a586551a2
1252b740600
1329c594874
1417591c29a
15d312b91c
hex867b8b60

2256243552 has 96 divisors (see below), whose sum is σ = 6628406400. Its totient is φ = 746630784.

The previous prime is 2256243527. The next prime is 2256243589. The reversal of 2256243552 is 2553426522.

2256243552 is a `hidden beast` number, since 2 + 2 + 5 + 62 + 43 + 552 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 110703 + ... + 129489.

It is an arithmetic number, because the mean of its divisors is an integer number (69045900).

Almost surely, 22256243552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256243552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314203200).

2256243552 is an abundant number, since it is smaller than the sum of its proper divisors (4372162848).

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

2256243552 is a wasteful number, since it uses less digits than its factorization.

2256243552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18945 (or 18931 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 2256243552 is about 47499.9321262673. The cubic root of 2256243552 is about 1311.5816321720.

The spelling of 2256243552 in words is "two billion, two hundred fifty-six million, two hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 139 144 216 278 288 417 432 556 834 864 1112 1251 1668 2224 2502 3336 3753 4448 5004 6672 7506 10008 13344 15012 18787 20016 30024 37574 40032 56361 60048 75148 112722 120096 150296 169083 225444 300592 338166 450888 507249 601184 676332 901776 1014498 1352664 1803552 2028996 2611393 2705328 4057992 5222786 5410656 7834179 8115984 10445572 15668358 16231968 20891144 23502537 31336716 41782288 47005074 62673432 70507611 83564576 94010148 125346864 141015222 188020296 250693728 282030444 376040592 564060888 752081184 1128121776 2256243552