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13882212 = 2233173743
BaseRepresentation
bin110100111101…
…001101100100
3222010021211000
4310331031210
512023212322
61213313300
7225665631
oct64751544
928107730
1013882212
117921a03
124795830
132b50936
141bb5188
1513433ac
hexd3d364

13882212 has 48 divisors (see below), whose sum is σ = 36247680. Its totient is φ = 4594464.

The previous prime is 13882189. The next prime is 13882229. The reversal of 13882212 is 21228831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18313 + ... + 19055.

It is an arithmetic number, because the mean of its divisors is an integer number (755160).

Almost surely, 213882212 is an apocalyptic number.

13882212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13882212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123840).

13882212 is an abundant number, since it is smaller than the sum of its proper divisors (22365468).

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

13882212 is a wasteful number, since it uses less digits than its factorization.

13882212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 13882212 is about 3725.8840561671. The cubic root of 13882212 is about 240.3364032499.

It can be divided in two parts, 1388 and 2212, that added together give a square (3600 = 602).

The spelling of 13882212 in words is "thirteen million, eight hundred eighty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 743 1038 1486 1557 2076 2229 2972 3114 4458 4671 6228 6687 8916 9342 13374 18684 20061 26748 40122 80244 128539 257078 385617 514156 771234 1156851 1542468 2313702 3470553 4627404 6941106 13882212