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2495167220 = 2257513571
BaseRepresentation
bin1001010010111001…
…0011101011110100
320102220002121221202
42110232103223310
520102230322340
61051332032032
7115555400000
oct22456235364
96386077852
102495167220
111070503077
12597762618
13309c29810
14199553700
15e90c3c15
hex94b93af4

2495167220 has 144 divisors (see below), whose sum is σ = 6594876288. Its totient is φ = 788296320.

The previous prime is 2495167219. The next prime is 2495167247. The reversal of 2495167220 is 227615942.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4369535 + ... + 4370105.

It is an arithmetic number, because the mean of its divisors is an integer number (45797752).

Almost surely, 22495167220 is an apocalyptic number.

2495167220 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 2495167220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297438144).

2495167220 is an abundant number, since it is smaller than the sum of its proper divisors (4099709068).

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

2495167220 is an equidigital number, since it uses as much as digits as its factorization.

2495167220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 2495167220 is about 49951.6488216355. The cubic root of 2495167220 is about 1356.3336986154. Note that the first 3 decimals are identical.

The spelling of 2495167220 in words is "two billion, four hundred ninety-five million, one hundred sixty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 343 364 455 490 571 637 686 910 980 1142 1274 1372 1715 1820 2284 2401 2548 2855 3185 3430 3997 4459 4802 5710 6370 6860 7423 7994 8918 9604 11420 12005 12740 14846 15988 16807 17836 19985 22295 24010 27979 29692 31213 33614 37115 39970 44590 48020 51961 55958 62426 67228 74230 79940 84035 89180 103922 111916 124852 139895 148460 156065 168070 195853 207844 218491 259805 279790 312130 336140 363727 391706 436982 519610 559580 624260 727454 783412 873964 979265 1039220 1092455 1370971 1454908 1818635 1958530 2184910 2546089 2741942 3637270 3917060 4369820 5092178 5483884 6854855 7274540 9596797 10184356 12730445 13709710 17822623 19193594 25460890 27419420 35645246 38387188 47983985 50921780 71290492 89113115 95967970 124758361 178226230 191935940 249516722 356452460 499033444 623791805 1247583610 2495167220