Search a number
-
+
235421164000 = 2553115350481
BaseRepresentation
bin1101101101000000110…
…0011110000111100000
3211111122220110020211101
43123100030132013200
512324120304222000
6300052340324144
723002645606501
oct3332014360740
9744586406741
10235421164000
1190929122a60
12397620a3654
131927a884609
14b574500ba8
1561cce98e6a
hex36d031e1e0

235421164000 has 96 divisors (see below), whose sum is σ = 631014445152. Its totient is φ = 85607680000.

The previous prime is 235421163931. The next prime is 235421164019. The reversal of 235421164000 is 461124532.

It is a super-2 number, since 2×2354211640002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 235421164000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2631241 + ... + 2719240.

It is an arithmetic number, because the mean of its divisors is an integer number (6573067137).

Almost surely, 2235421164000 is an apocalyptic number.

235421164000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235421164000 is an abundant number, since it is smaller than the sum of its proper divisors (395593281152).

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

235421164000 is a wasteful number, since it uses less digits than its factorization.

235421164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5350517 (or 5350499 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 235421164000 its reverse (461124532), we get a palindrome (235882288532).

The spelling of 235421164000 in words is "two hundred thirty-five billion, four hundred twenty-one million, one hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 5350481 10700962 21401924 26752405 42803848 53504810 58855291 85607696 107009620 117710582 133762025 171215392 214019240 235421164 267524050 294276455 428038480 470842328 535048100 588552910 668810125 856076960 941684656 1070096200 1177105820 1337620250 1471382275 1883369312 2140192400 2354211640 2675240500 2942764550 4280384800 4708423280 5350481000 5885529100 7356911375 9416846560 10700962000 11771058200 14713822750 21401924000 23542116400 29427645500 47084232800 58855291000 117710582000 235421164000