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423212000 = 2553313413
BaseRepresentation
bin11001001110011…
…011001111100000
31002111100101201112
4121032123033200
51331320241000
6105554522452
713326146141
oct3116331740
91074311645
10423212000
111a798a492
12b9896428
13698aaa03
14402c7ac8
152724b235
hex1939b3e0

423212000 has 96 divisors (see below), whose sum is σ = 1073689344. Its totient is φ = 163776000.

The previous prime is 423211967. The next prime is 423212033. The reversal of 423212000 is 212324.

It is an interprime number because it is at equal distance from previous prime (423211967) and next prime (423212033).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122294 + ... + 125706.

It is an arithmetic number, because the mean of its divisors is an integer number (11184264).

Almost surely, 2423212000 is an apocalyptic number.

423212000 is a gapful number since it is divisible by the number (40) 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 423212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536844672).

423212000 is an abundant number, since it is smaller than the sum of its proper divisors (650477344).

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

423212000 is a wasteful number, since it uses less digits than its factorization.

423212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 423212000 is about 20572.1170519711. The cubic root of 423212000 is about 750.7914607889.

Adding to 423212000 its reverse (212324), we get a palindrome (423424324).

The spelling of 423212000 in words is "four hundred twenty-three million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 2000 2480 3100 3413 3875 4000 4960 6200 6826 7750 12400 13652 15500 17065 24800 27304 31000 34130 54608 62000 68260 85325 105803 109216 124000 136520 170650 211606 273040 341300 423212 426625 529015 546080 682600 846424 853250 1058030 1365200 1692848 1706500 2116060 2645075 2730400 3385696 3413000 4232120 5290150 6826000 8464240 10580300 13225375 13652000 16928480 21160600 26450750 42321200 52901500 84642400 105803000 211606000 423212000