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212023122432 = 2931124235179
BaseRepresentation
bin1100010101110110010…
…0000001101000000000
3202021021020220120212020
43011131210001220000
511433210404404212
6241222503201440
721214062543042
oct3053544015000
9667236816766
10212023122432
1181a11586020
1235112146280
1316cbc1bb3c4
14a394bdba92
1557adc60d8c
hex315d901a00

212023122432 has 160 divisors (see below), whose sum is σ = 616565537280. Its totient is φ = 64210513920.

The previous prime is 212023122419. The next prime is 212023122461. The reversal of 212023122432 is 234221320212.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40936419 + ... + 40941597.

It is an arithmetic number, because the mean of its divisors is an integer number (3853534608).

Almost surely, 2212023122432 is an apocalyptic number.

212023122432 is a gapful number since it is divisible by the number (22) 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 212023122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308282768640).

212023122432 is an abundant number, since it is smaller than the sum of its proper divisors (404542414848).

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

212023122432 is a wasteful number, since it uses less digits than its factorization.

212023122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212023122432 its reverse (234221320212), we get a palindrome (446244442644).

The spelling of 212023122432 in words is "two hundred twelve billion, twenty-three million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2423 2816 4224 4846 5179 5632 7269 8448 9692 10358 14538 15537 16896 19384 20716 26653 29076 31074 38768 41432 53306 56969 58152 62148 77536 79959 82864 106612 113938 116304 124296 155072 159918 165728 170907 213224 227876 232608 248592 310144 319836 331456 341814 426448 455752 465216 497184 620288 639672 662912 683628 852896 911504 930432 994368 1240576 1279344 1325824 1367256 1705792 1823008 1860864 1988736 2558688 2651648 2734512 3411584 3646016 3721728 3977472 5117376 5469024 6823168 7292032 7954944 10234752 10938048 12548717 13646336 14584064 20469504 21876096 25097434 29168128 37646151 40939008 43752192 50194868 75292302 87504384 100389736 138035887 150584604 200779472 276071774 301169208 401558944 414107661 552143548 602338416 803117888 828215322 1104287096 1204676832 1606235776 1656430644 2208574192 2409353664 3212471552 3312861288 4417148384 4818707328 6424943104 6625722576 8834296768 9637414656 13251445152 17668593536 19274829312 26502890304 35337187072 53005780608 70674374144 106011561216 212023122432