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398844225 = 325213217617
BaseRepresentation
bin10111110001011…
…110000101000001
31000210111101102100
4113301132011001
51304101003400
6103324341013
712612056103
oct2761360501
91023441370
10398844225
1119515662a
12b16a4769
1364828500
143ad83573
1525036100
hex17c5e141

398844225 has 108 divisors (see below), whose sum is σ = 820383876. Its totient is φ = 184504320.

The previous prime is 398844217. The next prime is 398844241. The reversal of 398844225 is 522448893.

It can be written as a sum of positive squares in 18 ways, for example, as 395373456 + 3470769 = 19884^2 + 1863^2 .

It is not a de Polignac number, because 398844225 - 23 = 398844217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 646117 + ... + 646733.

It is an arithmetic number, because the mean of its divisors is an integer number (7596147).

Almost surely, 2398844225 is an apocalyptic number.

It is an amenable number.

398844225 is an abundant number, since it is smaller than the sum of its proper divisors (421539651).

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

398844225 is a wasteful number, since it uses less digits than its factorization.

398844225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 655 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 398844225 is about 19971.0847226684. The cubic root of 398844225 is about 736.0959632129.

The spelling of 398844225 in words is "three hundred ninety-eight million, eight hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 169 195 221 225 255 325 425 507 585 617 663 765 845 975 1105 1275 1521 1851 1989 2535 2873 2925 3085 3315 3825 4225 5525 5553 7605 8021 8619 9255 9945 10489 12675 14365 15425 16575 24063 25857 27765 31467 38025 40105 43095 46275 49725 52445 71825 72189 94401 104273 120315 129285 136357 138825 157335 200525 215475 262225 312819 360945 409071 472005 521365 601575 646425 681785 786675 938457 1227213 1564095 1772641 1804725 2045355 2360025 2606825 3408925 4692285 5317923 6136065 7820475 8863205 10226775 15953769 23461425 26589615 30680325 44316025 79768845 132948075 398844225