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19212500 = 22552953
BaseRepresentation
bin100100101001…
…0100011010100
31100011002121002
41021102203110
514404300000
61523442432
7322206056
oct111224324
940132532
1019212500
11a9326aa
126526418
133c98b58
1427a18d6
151a478d5
hex12528d4

19212500 has 72 divisors (see below), whose sum is σ = 44294040. Its totient is φ = 7280000.

The previous prime is 19212497. The next prime is 19212511. The reversal of 19212500 is 521291.

It can be written as a sum of positive squares in 12 ways, for example, as 18696976 + 515524 = 4324^2 + 718^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362474 + ... + 362526.

It is an arithmetic number, because the mean of its divisors is an integer number (615195).

Almost surely, 219212500 is an apocalyptic number.

19212500 is a gapful number since it is divisible by the number (10) 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 19212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22147020).

19212500 is an abundant number, since it is smaller than the sum of its proper divisors (25081540).

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

19212500 is an equidigital number, since it uses as much as digits as its factorization.

19212500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 19212500 is about 4383.2065887886. The cubic root of 19212500 is about 267.8312779258.

Adding to 19212500 its reverse (521291), we get a palindrome (19733791).

The spelling of 19212500 in words is "nineteen million, two hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 53 58 100 106 116 125 145 212 250 265 290 500 530 580 625 725 1060 1250 1325 1450 1537 2500 2650 2900 3074 3125 3625 5300 6148 6250 6625 7250 7685 12500 13250 14500 15370 18125 26500 30740 33125 36250 38425 66250 72500 76850 90625 132500 153700 165625 181250 192125 331250 362500 384250 662500 768500 960625 1921250 3842500 4803125 9606250 19212500