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3211148889 = 3213214532
BaseRepresentation
bin1011111101100110…
…0011111001011001
322021210100021011100
42333121203321121
523034023231024
61250350022013
7142401213054
oct27731437131
98253307140
103211148889
1113a8678763
127574a7909
133c2373300
1422668ba9b
1513bda17c9
hexbf663e59

3211148889 has 27 divisors (see below), whose sum is σ = 5026025277. Its totient is φ = 1974731616.

The previous prime is 3211148881. The next prime is 3211148929. The reversal of 3211148889 is 9888411123.

The square root of 3211148889 is 56667.

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

It can be written as a sum of positive squares in 4 ways, for example, as 177342489 + 3033806400 = 13317^2 + 55080^2 .

It is not a de Polignac number, because 3211148889 - 23 = 3211148881 is a prime.

It is a super-2 number, since 2×32111488892 = 20622954374651868642, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3211148881) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2209287 + ... + 2210739.

Almost surely, 23211148889 is an apocalyptic number.

3211148889 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3211148889 is the 56667-th square number.

3211148889 is the 28334-th centered octagonal number.

It is an amenable number.

3211148889 is a deficient number, since it is larger than the sum of its proper divisors (1814876388).

3211148889 is an equidigital number, since it uses as much as digits as its factorization.

3211148889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 1469 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The cubic root of 3211148889 is about 1475.3219849021.

It can be divided in two parts, 3211 and 148889, that added together give a square (152100 = 3902).

The spelling of 3211148889 in words is "three billion, two hundred eleven million, one hundred forty-eight thousand, eight hundred eighty-nine".

Divisors: 1 3 9 13 39 117 169 507 1453 1521 4359 13077 18889 56667 170001 245557 736671 2111209 2210013 6333627 19000881 27445717 82337151 247011453 356794321 1070382963 3211148889