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270224208 = 24331036073
BaseRepresentation
bin10000000110110…
…100101101010000
3200211110210221000
4100012310231100
51023134133313
642451502000
76460603452
oct2006645520
9624423830
10270224208
111295974a1
12765b7900
1343ca3ba7
1427c622d2
1518acb673
hex101b4b50

270224208 has 80 divisors (see below), whose sum is σ = 783303040. Its totient is φ = 89185536.

The previous prime is 270224191. The next prime is 270224237. The reversal of 270224208 is 802422072.

It is a super-2 number, since 2×2702242082 = 146042245178454528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41460 + ... + 47532.

It is an arithmetic number, because the mean of its divisors is an integer number (9791288).

Almost surely, 2270224208 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 270224208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391651520).

270224208 is an abundant number, since it is smaller than the sum of its proper divisors (513078832).

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

270224208 is a wasteful number, since it uses less digits than its factorization.

270224208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6181 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 270224208 is about 16438.4977415821. The cubic root of 270224208 is about 646.5092617684.

The spelling of 270224208 in words is "two hundred seventy million, two hundred twenty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 412 432 618 824 927 1236 1648 1854 2472 2781 3708 4944 5562 6073 7416 11124 12146 14832 18219 22248 24292 36438 44496 48584 54657 72876 97168 109314 145752 163971 218628 291504 327942 437256 625519 655884 874512 1251038 1311768 1876557 2502076 2623536 3753114 5004152 5629671 7506228 10008304 11259342 15012456 16889013 22518684 30024912 33778026 45037368 67556052 90074736 135112104 270224208