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2038122225 = 325219314691
BaseRepresentation
bin111100101111011…
…0100011011110001
312021001002100002100
41321132310123301
513133224402400
6534124011013
7101335516206
oct17136643361
95231070070
102038122225
11956515437
1248a690a69
132663342a9
1415497dcad
15bdde3100
hex797b46f1

2038122225 has 36 divisors (see below), whose sum is σ = 3653172432. Its totient is φ = 1086204000.

The previous prime is 2038122223. The next prime is 2038122263. The reversal of 2038122225 is 5222218302.

It is not a de Polignac number, because 2038122225 - 21 = 2038122223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2038122223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 432130 + ... + 436820.

It is an arithmetic number, because the mean of its divisors is an integer number (101477012).

Almost surely, 22038122225 is an apocalyptic number.

2038122225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2038122225 is a deficient number, since it is larger than the sum of its proper divisors (1615050207).

2038122225 is a wasteful number, since it uses less digits than its factorization.

2038122225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2038122225 is about 45145.5670581288. The cubic root of 2038122225 is about 1267.8758849233.

The spelling of 2038122225 in words is "two billion, thirty-eight million, one hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1931 4691 5793 9655 14073 17379 23455 28965 42219 48275 70365 86895 117275 144825 211095 351825 434475 1055475 9058321 27174963 45291605 81524889 135874815 226458025 407624445 679374075 2038122225