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1932921225 = 34529772
BaseRepresentation
bin111001100110110…
…0000100110001001
311222201010120110000
41303031200212021
512424311434400
6515445113213
765620362564
oct16315404611
94881116400
101932921225
119020a1364
1245b3b8809
1324a5bc391
141449d74db
15b4a62600
hex73360989

1932921225 has 45 divisors (see below), whose sum is σ = 3584106757. Its totient is φ = 1029836160.

The previous prime is 1932921223. The next prime is 1932921227. The reversal of 1932921225 is 5221292391.

The square root of 1932921225 is 43965.

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

It is an interprime number because it is at equal distance from previous prime (1932921223) and next prime (1932921227).

It can be written as a sum of positive squares in 4 ways, for example, as 275128569 + 1657792656 = 16587^2 + 40716^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1932921225 - 21 = 1932921223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1932921225.

It is not an unprimeable number, because it can be changed into a prime (1932921223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1977937 + ... + 1978913.

Almost surely, 21932921225 is an apocalyptic number.

1932921225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1932921225 is the 43965-th square number.

1932921225 is the 21983-rd centered octagonal number.

It is an amenable number.

1932921225 is a deficient number, since it is larger than the sum of its proper divisors (1651185532).

1932921225 is an frugal number, since it uses more digits than its factorization.

1932921225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 985 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The cubic root of 1932921225 is about 1245.6749134948.

Multiplying 1932921225 by its sum of digits (36), we get a square (69585164100 = 2637902).

The spelling of 1932921225 in words is "one billion, nine hundred thirty-two million, nine hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 977 2025 2931 4885 8793 14655 24425 26379 43965 73275 79137 131895 219825 395685 659475 954529 1978425 2863587 4772645 8590761 14317935 23863225 25772283 42953805 71589675 77316849 128861415 214769025 386584245 644307075 1932921225