Search a number
-
+
3022331100 = 2235223647677
BaseRepresentation
bin1011010000100101…
…0001110011011100
321210122001022211220
42310021101303130
522142204043400
61215523013340
7134616250635
oct26411216334
97718038756
103022331100
1113110330a8
1270420a250
133922029c9
1420957a88c
1512a5057a0
hexb4251cdc

3022331100 has 144 divisors (see below), whose sum is σ = 9152414208. Its totient is φ = 768584960.

The previous prime is 3022331087. The next prime is 3022331101. The reversal of 3022331100 is 11332203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3022331100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3022331101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4463962 + ... + 4464638.

It is an arithmetic number, because the mean of its divisors is an integer number (63558432).

Almost surely, 23022331100 is an apocalyptic number.

3022331100 is a gapful number since it is divisible by the number (30) 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 3022331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576207104).

3022331100 is an abundant number, since it is smaller than the sum of its proper divisors (6130083108).

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

3022331100 is a wasteful number, since it uses less digits than its factorization.

3022331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3022331100 is about 54975.7319187294. The cubic root of 3022331100 is about 1445.8192853174.

Adding to 3022331100 its reverse (11332203), we get a palindrome (3033663303).

The spelling of 3022331100 in words is "three billion, twenty-two million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 647 677 690 1150 1294 1354 1380 1725 1941 2031 2300 2588 2708 3235 3385 3450 3882 4062 6470 6770 6900 7764 8124 9705 10155 12940 13540 14881 15571 16175 16925 19410 20310 29762 31142 32350 33850 38820 40620 44643 46713 48525 50775 59524 62284 64700 67700 74405 77855 89286 93426 97050 101550 148810 155710 178572 186852 194100 203100 223215 233565 297620 311420 372025 389275 438019 446430 467130 744050 778550 876038 892860 934260 1116075 1167825 1314057 1488100 1557100 1752076 2190095 2232150 2335650 2628114 4380190 4464300 4671300 5256228 6570285 8760380 10074437 10950475 13140570 20148874 21900950 26281140 30223311 32851425 40297748 43801900 50372185 60446622 65702850 100744370 120893244 131405700 151116555 201488740 251860925 302233110 503721850 604466220 755582775 1007443700 1511165550 3022331100