Search a number
-
+
212221416 = 23311273079
BaseRepresentation
bin11001010011000…
…11110111101000
3112210022222001110
430221203313220
5413312041131
633020350320
75154565221
oct1451436750
9483288043
10212221416
11a9880100
125b0a53a0
1334c76004
1420284248
1513970646
hexca63de8

212221416 has 48 divisors (see below), whose sum is σ = 583178400. Its totient is φ = 64308640.

The previous prime is 212221411. The next prime is 212221423. The reversal of 212221416 is 614122212.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212221392 and 212221401.

It is not an unprimeable number, because it can be changed into a prime (212221411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33636 + ... + 39443.

It is an arithmetic number, because the mean of its divisors is an integer number (12149550).

Almost surely, 2212221416 is an apocalyptic number.

It is an amenable number.

212221416 is an abundant number, since it is smaller than the sum of its proper divisors (370956984).

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

212221416 is a wasteful number, since it uses less digits than its factorization.

212221416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73110 (or 73095 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 212221416 is about 14567.8212509627. The cubic root of 212221416 is about 596.4807091231.

Adding to 212221416 its reverse (614122212), we get a palindrome (826343628).

The spelling of 212221416 in words is "two hundred twelve million, two hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 73079 146158 219237 292316 438474 584632 803869 876948 1607738 1753896 2411607 3215476 4823214 6430952 8842559 9646428 17685118 19292856 26527677 35370236 53055354 70740472 106110708 212221416