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212201440 = 25511120569
BaseRepresentation
bin11001010010111…
…10111111100000
3112210021221122121
430221132333200
5413310421230
633020114024
75154453043
oct1451367740
9483257577
10212201440
11a98670a0
125b095914
1334c69ba9
142027ac5a
151396977a
hexca5efe0

212201440 has 48 divisors (see below), whose sum is σ = 546905520. Its totient is φ = 77163520.

The previous prime is 212201419. The next prime is 212201467. The reversal of 212201440 is 44102212.

It is a super-2 number, since 2×2122014402 = 90058902276147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58525 + ... + 62044.

It is an arithmetic number, because the mean of its divisors is an integer number (11393865).

Almost surely, 2212201440 is an apocalyptic number.

212201440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201440 is an abundant number, since it is smaller than the sum of its proper divisors (334704080).

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

212201440 is a wasteful number, since it uses less digits than its factorization.

212201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120595 (or 120587 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 212201440 is about 14567.1356141144. The cubic root of 212201440 is about 596.4619933360.

Adding to 212201440 its reverse (44102212), we get a palindrome (256303652).

The spelling of 212201440 in words is "two hundred twelve million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 120569 241138 482276 602845 964552 1205690 1326259 1929104 2411380 2652518 3858208 4822760 5305036 6631295 9645520 10610072 13262590 19291040 21220144 26525180 42440288 53050360 106100720 212201440