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249690220 = 225131723323
BaseRepresentation
bin11101110000111…
…11100001101100
3122101211120120221
432320133201230
51002410041340
640435421124
76121221553
oct1670374154
9571746527
10249690220
11118a41a5a
126b7547a4
133c9646c0
1425238d9a
1516dc244a
hexee1f86c

249690220 has 72 divisors (see below), whose sum is σ = 600035184. Its totient is φ = 86744064.

The previous prime is 249690209. The next prime is 249690251. The reversal of 249690220 is 22096942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73479 + ... + 76801.

It is an arithmetic number, because the mean of its divisors is an integer number (8333822).

Almost surely, 2249690220 is an apocalyptic number.

249690220 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 249690220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300017592).

249690220 is an abundant number, since it is smaller than the sum of its proper divisors (350344964).

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

249690220 is a wasteful number, since it uses less digits than its factorization.

249690220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 249690220 is about 15801.5891605876. The cubic root of 249690220 is about 629.7002185056.

The spelling of 249690220 in words is "two hundred forty-nine million, six hundred ninety thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 289 340 442 578 884 1105 1156 1445 2210 2890 3323 3757 4420 5780 6646 7514 13292 15028 16615 18785 33230 37570 43199 56491 66460 75140 86398 112982 172796 215995 225964 282455 431990 564910 734383 863980 960347 1129820 1468766 1920694 2937532 3671915 3841388 4801735 7343830 9603470 12484511 14687660 19206940 24969022 49938044 62422555 124845110 249690220