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212424333400 = 23523747959929
BaseRepresentation
bin1100010111010101111…
…0100001100001011000
3202022022012212012211201
43011311132201201120
511440021112132100
6241330354403544
721230034020236
oct3056536414130
9668265765751
10212424333400
11820a7aa8834
12352045905b4
1317054364c46
14a3d21d9956
1557d40b336a
hex31757a1858

212424333400 has 96 divisors (see below), whose sum is σ = 508302288000. Its totient is φ = 82499281920.

The previous prime is 212424333367. The next prime is 212424333403. The reversal of 212424333400 is 4333424212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212424333403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3514636 + ... + 3574564.

It is an arithmetic number, because the mean of its divisors is an integer number (5294815500).

Almost surely, 2212424333400 is an apocalyptic number.

212424333400 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 212424333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254151144000).

212424333400 is an abundant number, since it is smaller than the sum of its proper divisors (295877954600).

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

212424333400 is a wasteful number, since it uses less digits than its factorization.

212424333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60461 (or 60452 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 212424333400 its reverse (4333424212), we get a palindrome (216757757612).

The spelling of 212424333400 in words is "two hundred twelve billion, four hundred twenty-four million, three hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 479 740 925 958 1480 1850 1916 2395 3700 3832 4790 7400 9580 11975 17723 19160 23950 35446 47900 59929 70892 88615 95800 119858 141784 177230 239716 299645 354460 443075 479432 599290 708920 886150 1198580 1498225 1772300 2217373 2397160 2996450 3544600 4434746 5992900 8869492 11086865 11985800 17738984 22173730 28705991 44347460 55434325 57411982 88694920 110868650 114823964 143529955 221737300 229647928 287059910 443474600 574119820 717649775 1062121667 1148239640 1435299550 2124243334 2870599100 4248486668 5310608335 5741198200 8496973336 10621216670 21242433340 26553041675 42484866680 53106083350 106212166700 212424333400