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2189772025 = 52741912
BaseRepresentation
bin1000001010000101…
…0100010011111001
312122121102221111121
42002201110103321
513441040201100
61001142225241
7105156520000
oct20241242371
95577387447
102189772025
11a24084151
12511425221
1328b8900bc
1416ab77c37
15cc39b51a
hex828544f9

2189772025 has 45 divisors (see below), whose sum is σ = 3184353263. Its totient is φ = 1493696400.

The previous prime is 2189772001. The next prime is 2189772029. The reversal of 2189772025 is 5202779812.

The square root of 2189772025 is 46795.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 788317929 + 1401454096 = 28077^2 + 37436^2 .

It is not a de Polignac number, because 2189772025 - 215 = 2189739257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2189772029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11464680 + ... + 11464870.

Almost surely, 22189772025 is an apocalyptic number.

2189772025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2189772025 is the 46795-th square number.

2189772025 is the 23398-th centered octagonal number.

It is an amenable number.

2189772025 is a deficient number, since it is larger than the sum of its proper divisors (994581238).

2189772025 is an frugal number, since it uses more digits than its factorization.

2189772025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The cubic root of 2189772025 is about 1298.5727976275.

The spelling of 2189772025 in words is "two billion, one hundred eighty-nine million, seven hundred seventy-two thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 191 245 343 955 1225 1337 1715 2401 4775 6685 8575 9359 12005 33425 36481 46795 60025 65513 182405 233975 255367 327565 458591 912025 1276835 1637825 1787569 2292955 6384175 8937845 11464775 12512983 44689225 62564915 87590881 312824575 437954405 2189772025