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212212044 = 2232113311619
BaseRepresentation
bin11001010011000…
…01100101001100
3112210022111012100
430221201211030
5413311241134
633020235100
75154526002
oct1451414514
9483274170
10212212044
11a9874060
125b09ba90
1334c71975
1420280a72
151396c999
hexca6194c

212212044 has 72 divisors (see below), whose sum is σ = 587321280. Its totient is φ = 64072800.

The previous prime is 212211997. The next prime is 212212051. The reversal of 212212044 is 440212212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130267 + ... + 131885.

It is an arithmetic number, because the mean of its divisors is an integer number (8157240).

Almost surely, 2212212044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293660640).

212212044 is an abundant number, since it is smaller than the sum of its proper divisors (375109236).

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

212212044 is a wasteful number, since it uses less digits than its factorization.

212212044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212212044 is about 14567.4995795435. The cubic root of 212212044 is about 596.4719285146.

Adding to 212212044 its reverse (440212212), we get a palindrome (652424256).

The spelling of 212212044 in words is "two hundred twelve million, two hundred twelve thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 331 396 662 993 1324 1619 1986 2979 3238 3641 3972 4857 5958 6476 7282 9714 10923 11916 14564 14571 17809 19428 21846 29142 32769 35618 43692 53427 58284 65538 71236 106854 131076 160281 213708 320562 535889 641124 1071778 1607667 2143556 3215334 4823001 5894779 6430668 9646002 11789558 17684337 19292004 23579116 35368674 53053011 70737348 106106022 212212044