Search a number
-
+
212044332 = 2231719227241
BaseRepresentation
bin11001010001110…
…00101000101100
3112202222222010210
430220320220230
5413240404312
633012502420
75153230023
oct1450705054
9482888123
10212044332
11a976a055
125b01aa10
1334c13526
14202398ba
1513937e3c
hexca38a2c

212044332 has 96 divisors (see below), whose sum is σ = 556174080. Its totient is φ = 62484480.

The previous prime is 212044321. The next prime is 212044363. The reversal of 212044332 is 233440212.

It is a junction number, because it is equal to n+sod(n) for n = 212044299 and 212044308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879732 + ... + 879972.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480).

Almost surely, 2212044332 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 212044332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278087040).

212044332 is an abundant number, since it is smaller than the sum of its proper divisors (344129748).

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

212044332 is a wasteful number, since it uses less digits than its factorization.

212044332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 212044332 is about 14561.7420661128. The cubic root of 212044332 is about 596.3147557444.

Adding to 212044332 its reverse (233440212), we get a palindrome (445484544).

The spelling of 212044332 in words is "two hundred twelve million, forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 227 228 241 323 454 482 646 681 723 908 964 969 1292 1362 1446 1938 2724 2892 3859 3876 4097 4313 4579 7718 8194 8626 9158 11577 12291 12939 13737 15436 16388 17252 18316 23154 24582 25878 27474 46308 49164 51756 54707 54948 73321 77843 109414 146642 155686 164121 218828 219963 233529 293284 311372 328242 439926 467058 656484 879852 930019 934116 1039433 1860038 2078866 2790057 3118299 3720076 4157732 5580114 6236598 11160228 12473196 17670361 35340722 53011083 70681444 106022166 212044332