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212434512 = 243291011511
BaseRepresentation
bin11001010100101…
…11111001010000
3112210201210100220
430222113321100
5413340401022
633025113040
75156443413
oct1452277120
9483653326
10212434512
11a9a06214
125b188780
133501bcc4
14202dbb7a
15139b385c
hexca97e50

212434512 has 80 divisors (see below), whose sum is σ = 573713280. Its totient is φ = 67648000.

The previous prime is 212434471. The next prime is 212434531. The reversal of 212434512 is 215434212.

212434512 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 139837 + ... + 141347.

It is an arithmetic number, because the mean of its divisors is an integer number (7171416).

Almost surely, 2212434512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212434512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286856640).

212434512 is an abundant number, since it is smaller than the sum of its proper divisors (361278768).

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

212434512 is a wasteful number, since it uses less digits than its factorization.

212434512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1646 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 212434512 is about 14575.1333441585. The cubic root of 212434512 is about 596.6802886244.

Adding to 212434512 its reverse (215434212), we get a palindrome (427868724).

The spelling of 212434512 in words is "two hundred twelve million, four hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 101 116 174 202 232 303 348 404 464 606 696 808 1212 1392 1511 1616 2424 2929 3022 4533 4848 5858 6044 8787 9066 11716 12088 17574 18132 23432 24176 35148 36264 43819 46864 70296 72528 87638 131457 140592 152611 175276 262914 305222 350552 457833 525828 610444 701104 915666 1051656 1220888 1831332 2103312 2441776 3662664 4425719 7325328 8851438 13277157 17702876 26554314 35405752 53108628 70811504 106217256 212434512