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3023123220 = 22325132356171
BaseRepresentation
bin1011010000110001…
…0011001100010100
321210200112120102200
42310030103030110
522142404420340
61215552004500
7134626060215
oct26414231424
97720476380
103023123220
111311524247
12704530730
1339241c410
1420970540c
1512a610330
hexb4313314

3023123220 has 144 divisors (see below), whose sum is σ = 10305090432. Its totient is φ = 711786240.

The previous prime is 3023123219. The next prime is 3023123227. The reversal of 3023123220 is 223213203.

It is a happy number.

3023123220 is a `hidden beast` number, since 30 + 2 + 312 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3023123193 and 3023123202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023123227) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25735 + ... + 81905.

It is an arithmetic number, because the mean of its divisors is an integer number (71563128).

Almost surely, 23023123220 is an apocalyptic number.

3023123220 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 3023123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152545216).

3023123220 is an abundant number, since it is smaller than the sum of its proper divisors (7281967212).

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

3023123220 is a wasteful number, since it uses less digits than its factorization.

3023123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56222 (or 56217 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3023123220 is about 54982.9357164566. The cubic root of 3023123220 is about 1445.9455854365.

Adding to 3023123220 its reverse (223213203), we get a palindrome (3246336423).

The spelling of 3023123220 in words is "three billion, twenty-three million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 8970 10764 13455 17940 26910 53820 56171 112342 168513 224684 280855 337026 505539 561710 674052 730223 842565 1011078 1123420 1291933 1460446 1685130 2022156 2190669 2527695 2583866 2920892 3370260 3651115 3875799 4381338 5055390 5167732 6459665 6572007 7302230 7751598 8762676 10110780 10953345 11627397 12919330 13144014 14604460 15503196 16795129 19378995 21906690 23254794 25838660 26288028 32860035 33590258 38757990 43813380 46509588 50385387 58136985 65720070 67180516 77515980 83975645 100770774 116273970 131440140 151156161 167951290 201541548 232547940 251926935 302312322 335902580 503853870 604624644 755780805 1007707740 1511561610 3023123220