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270106224 = 24331181523
BaseRepresentation
bin10000000110010…
…111111001110000
3200211020211002020
4100012113321300
51023121344344
642445151440
76456602463
oct2006277160
9624224066
10270106224
11129516893
127655b580
1343c6228b
1427c312da
1518aa6719
hex10197e70

270106224 has 40 divisors (see below), whose sum is σ = 720287232. Its totient is φ = 87130560.

The previous prime is 270106211. The next prime is 270106241. The reversal of 270106224 is 422601072.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 270106194 and 270106203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89274 + ... + 92249.

Almost surely, 2270106224 is an apocalyptic number.

270106224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

270106224 is an abundant number, since it is smaller than the sum of its proper divisors (450181008).

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

270106224 is a wasteful number, since it uses less digits than its factorization.

270106224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181565 (or 181559 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 270106224 is about 16434.9087006895. The cubic root of 270106224 is about 646.4151561448.

Adding to 270106224 its reverse (422601072), we get a palindrome (692707296).

The spelling of 270106224 in words is "two hundred seventy million, one hundred six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 181523 363046 544569 726092 1089138 1452184 2178276 2904368 4356552 5627213 8713104 11254426 16881639 22508852 33763278 45017704 67526556 90035408 135053112 270106224