Search a number
-
+
21233033304 = 23371631674643
BaseRepresentation
bin10011110001100101…
…100110000001011000
32000210202200211221220
4103301211212001120
5321441124031204
613430533332040
71351113543120
oct236145460130
960722624856
1021233033304
11900654820a
124146a97020
132004c96942
141055d73c80
1584412e1d9
hex4f1966058

21233033304 has 128 divisors (see below), whose sum is σ = 61416714240. Its totient is φ = 5991967872.

The previous prime is 21233033299. The next prime is 21233033323. The reversal of 21233033304 is 40333033212.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 4570807 + ... + 4575449.

It is an arithmetic number, because the mean of its divisors is an integer number (479818080).

Almost surely, 221233033304 is an apocalyptic number.

21233033304 is a gapful number since it is divisible by the number (24) 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 21233033304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30708357120).

21233033304 is an abundant number, since it is smaller than the sum of its proper divisors (40183680936).

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

21233033304 is a wasteful number, since it uses less digits than its factorization.

21233033304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 21233033304 its reverse (40333033212), we get a palindrome (61566066516).

The spelling of 21233033304 in words is "twenty-one billion, two hundred thirty-three million, thirty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 163 167 168 326 334 489 501 652 668 978 1002 1141 1169 1304 1336 1956 2004 2282 2338 3423 3507 3912 4008 4564 4643 4676 6846 7014 9128 9286 9352 13692 13929 14028 18572 27221 27384 27858 28056 32501 37144 54442 55716 65002 81663 97503 108884 111432 130004 163326 190547 195006 217768 260008 326652 381094 390012 571641 653304 756809 762188 775381 780024 1143282 1513618 1524376 1550762 2270427 2286564 2326143 3027236 3101524 4540854 4573128 4652286 5297663 5427667 6054472 6203048 9081708 9304572 10595326 10855334 15892989 16283001 18163416 18609144 21190652 21710668 31785978 32566002 42381304 43421336 63571956 65132004 126387103 127143912 130264008 252774206 379161309 505548412 758322618 884709721 1011096824 1516645236 1769419442 2654129163 3033290472 3538838884 5308258326 7077677768 10616516652 21233033304