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212215500 = 22325376737
BaseRepresentation
bin11001010011000…
…10011011001100
3112210022122221100
430221202123030
5413311344000
633020303100
75154542040
oct1451423314
9483278840
10212215500
11a9876712
125b0a1a90
1334c73403
1420282020
151396da00
hexca626cc

212215500 has 144 divisors (see below), whose sum is σ = 765221184. Its totient is φ = 48499200.

The previous prime is 212215483. The next prime is 212215501. The reversal of 212215500 is 5512212.

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

It is not an unprimeable number, because it can be changed into a prime (212215501) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28132 + ... + 34868.

It is an arithmetic number, because the mean of its divisors is an integer number (5314036).

Almost surely, 2212215500 is an apocalyptic number.

212215500 is a gapful number since it is divisible by the number (20) 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 212215500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382610592).

212215500 is an abundant number, since it is smaller than the sum of its proper divisors (553005684).

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

212215500 is a wasteful number, since it uses less digits than its factorization.

212215500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 212215500 is about 14567.6181992802. The cubic root of 212215500 is about 596.4751664644.

Adding to 212215500 its reverse (5512212), we get a palindrome (217727712).

The spelling of 212215500 in words is "two hundred twelve million, two hundred fifteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 2100 2250 2625 3150 3500 4500 5250 6300 6737 7875 10500 13474 15750 20211 26948 31500 33685 40422 47159 60633 67370 80844 94318 101055 121266 134740 141477 168425 188636 202110 235795 242532 282954 303165 336850 404220 424431 471590 505275 565908 606330 673700 707385 842125 848862 943180 1010550 1178975 1212660 1414770 1515825 1684250 1697724 2021100 2122155 2357950 2526375 2829540 3031650 3368500 3536925 4244310 4715900 5052750 5894875 6063300 7073850 7579125 8488620 10105500 10610775 11789750 14147700 15158250 17684625 21221550 23579500 30316500 35369250 42443100 53053875 70738500 106107750 212215500