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270225648 = 243271124371
BaseRepresentation
bin10000000110110…
…101000011110000
3200211110212220100
4100012311003300
51023134210043
642451512400
76460610610
oct2006650360
9624425810
10270225648
11129598590
12765b8700
1343ca4744
1427c62a40
1518acbcd3
hex101b50f0

270225648 has 120 divisors (see below), whose sum is σ = 942903936. Its totient is φ = 70185600.

The previous prime is 270225577. The next prime is 270225649. The reversal of 270225648 is 846522072.

270225648 is a `hidden beast` number, since 2 + 7 + 0 + 2 + 2 + 5 + 648 = 666.

270225648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270225649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1098 + ... + 23273.

Almost surely, 2270225648 is an apocalyptic number.

270225648 is a gapful number since it is divisible by the number (28) 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 270225648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471451968).

270225648 is an abundant number, since it is smaller than the sum of its proper divisors (672678288).

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

270225648 is a wasteful number, since it uses less digits than its factorization.

270225648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24403 (or 24394 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 270225648 is about 16438.5415411465. The cubic root of 270225648 is about 646.5104101625.

The spelling of 270225648 in words is "two hundred seventy million, two hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 24371 48742 73113 97484 146226 170597 194968 219339 268081 292452 341194 389936 438678 511791 536162 584904 682388 804243 877356 1023582 1072324 1169808 1364776 1535373 1608486 1754712 1876567 2047164 2144648 2412729 2729552 3070746 3216972 3509424 3753134 4094328 4289296 4825458 5629701 6141492 6433944 7506268 8188656 9650916 11259402 12282984 12867888 15012536 16889103 19301832 22518804 24565968 30025072 33778206 38603664 45037608 67556412 90075216 135112824 270225648