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216749925 = 365271699
BaseRepresentation
bin11001110101101…
…01011101100101
3120002212001000000
430322311131211
5420441444200
633301411513
75241225660
oct1472653545
9502761000
10216749925
11101393477
1260709b99
1335ba02c2
1420b026d7
1514067300
hexceb5765

216749925 has 84 divisors (see below), whose sum is σ = 460808800. Its totient is φ = 99027360.

The previous prime is 216749917. The next prime is 216749941. The reversal of 216749925 is 529947612.

It is not a de Polignac number, because 216749925 - 23 = 216749917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 126726 + ... + 128424.

Almost surely, 2216749925 is an apocalyptic number.

216749925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

216749925 is an abundant number, since it is smaller than the sum of its proper divisors (244058875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216749925 is an equidigital number, since it uses as much as digits as its factorization.

216749925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1714 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 216749925 is about 14722.4293172017. The cubic root of 216749925 is about 600.6935729520.

The spelling of 216749925 in words is "two hundred sixteen million, seven hundred forty-nine thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 243 315 405 525 567 675 729 945 1215 1575 1699 1701 2025 2835 3645 4725 5097 5103 6075 8495 8505 11893 14175 15291 18225 25485 25515 35679 42475 42525 45873 59465 76455 107037 127425 127575 137619 178395 229365 297325 321111 382275 412857 535185 688095 891975 963333 1146825 1238571 1605555 2064285 2675925 2889999 3440475 4816665 6192855 8027775 8669997 10321425 14449995 24083325 30964275 43349985 72249975 216749925