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966228945 = 351119893463
BaseRepresentation
bin111001100101110…
…111101111010001
32111100010111221020
4321211313233101
53434323311240
6235513350053
732641545003
oct7145675721
92440114836
10966228945
11456458120
1222b708329
13125244906
149247a373
1559c600d0
hex39977bd1

966228945 has 64 divisors (see below), whose sum is σ = 1795737600. Its totient is φ = 438704640.

The previous prime is 966228943. The next prime is 966228947. The reversal of 966228945 is 549822669.

It is an interprime number because it is at equal distance from previous prime (966228943) and next prime (966228947).

It is not a de Polignac number, because 966228945 - 21 = 966228943 is a prime.

It is not an unprimeable number, because it can be changed into a prime (966228943) 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 63 ways as a sum of consecutive naturals, for example, 277284 + ... + 280746.

It is an arithmetic number, because the mean of its divisors is an integer number (28058400).

Almost surely, 2966228945 is an apocalyptic number.

966228945 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

966228945 is a deficient number, since it is larger than the sum of its proper divisors (829508655).

966228945 is a wasteful number, since it uses less digits than its factorization.

966228945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590.

The product of its digits is 1866240, while the sum is 51.

The square root of 966228945 is about 31084.2234099551. The cubic root of 966228945 is about 988.6138288256.

The spelling of 966228945 in words is "nine hundred sixty-six million, two hundred twenty-eight thousand, nine hundred forty-five".

Divisors: 1 3 5 11 15 19 33 55 57 89 95 165 209 267 285 445 627 979 1045 1335 1691 2937 3135 3463 4895 5073 8455 10389 14685 17315 18601 25365 38093 51945 55803 65797 93005 114279 190465 197391 279015 308207 328985 571395 723767 924621 986955 1541035 2171301 3390277 3618835 4623105 5855933 10170831 10856505 16951385 17567799 29279665 50854155 64415263 87838995 193245789 322076315 966228945