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245980224 = 2632761007
BaseRepresentation
bin11101010100101…
…01110001000000
3122010212002102200
432222111301000
51000432331344
640224113200
76044540340
oct1652256100
9563762380
10245980224
11116938646
126a465800
133bc65b39
1424950d20
15168dd069
hexea95c40

245980224 has 84 divisors (see below), whose sum is σ = 805793664. Its totient is φ = 70278912.

The previous prime is 245980201. The next prime is 245980283. The reversal of 245980224 is 422089542.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26472 + ... + 34535.

Almost surely, 2245980224 is an apocalyptic number.

245980224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245980224 is an abundant number, since it is smaller than the sum of its proper divisors (559813440).

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

245980224 is a wasteful number, since it uses less digits than its factorization.

245980224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61032 (or 61019 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 245980224 is about 15683.7566928335. The cubic root of 245980224 is about 626.5658647784.

The spelling of 245980224 in words is "two hundred forty-five million, nine hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 61007 122014 183021 244028 366042 427049 488056 549063 732084 854098 976112 1098126 1281147 1464168 1708196 1952224 2196252 2562294 2928336 3416392 3843441 3904448 4392504 5124588 5856672 6832784 7686882 8785008 10249176 11713344 13665568 15373764 17570016 20498352 27331136 30747528 35140032 40996704 61495056 81993408 122990112 245980224