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4212323220 = 2235723474129
BaseRepresentation
bin1111101100010010…
…1111001110010100
3101212120020012011010
43323010233032110
532111323320340
61533552412220
7206246104500
oct37304571624
911776205133
104212323220
111871823866
12996847070
13521901b61
142bd623300
15199c15b80
hexfb12f394

4212323220 has 144 divisors (see below), whose sum is σ = 13763010240. Its totient is φ = 959809536.

The previous prime is 4212323207. The next prime is 4212323251. The reversal of 4212323220 is 223232124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018116 + ... + 1022244.

It is an arithmetic number, because the mean of its divisors is an integer number (95576460).

Almost surely, 24212323220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881505120).

4212323220 is an abundant number, since it is smaller than the sum of its proper divisors (9550687020).

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

4212323220 is a wasteful number, since it uses less digits than its factorization.

4212323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4212323220 is about 64902.4130522125. The cubic root of 4212323220 is about 1615.0050922082.

Adding to 4212323220 its reverse (223232124), we get a palindrome (4435555344).

The spelling of 4212323220 in words is "four billion, two hundred twelve million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 347 420 490 588 694 735 980 1041 1388 1470 1735 2082 2429 2940 3470 4129 4164 4858 5205 6940 7287 8258 9716 10410 12145 12387 14574 16516 17003 20645 20820 24290 24774 28903 29148 34006 36435 41290 48580 49548 51009 57806 61935 68012 72870 82580 85015 86709 102018 115612 123870 144515 145740 170030 173418 202321 204036 247740 255045 289030 340060 346836 404642 433545 510090 578060 606963 809284 867090 1011605 1020180 1213926 1432763 1734180 2023210 2427852 2865526 3034815 4046420 4298289 5731052 6069630 7163815 8596578 10029341 12139260 14327630 17193156 20058682 21491445 28655260 30088023 40117364 42982890 50146705 60176046 70205387 85965780 100293410 120352092 140410774 150440115 200586820 210616161 280821548 300880230 351026935 421232322 601760460 702053870 842464644 1053080805 1404107740 2106161610 4212323220