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4212020208 = 24311371491447
BaseRepresentation
bin1111101100001110…
…0101001111110000
3101212112122210111110
43323003211033300
532111234121313
61533542113320
7206243403204
oct37303451760
911775583443
104212020208
111871637140
1299671b840
13521826c66
142bd584b04
15199ba5ec3
hexfb0e53f0

4212020208 has 160 divisors (see below), whose sum is σ = 12281356800. Its totient is φ = 1232686080.

The previous prime is 4212020179. The next prime is 4212020231. The reversal of 4212020208 is 8020202124.

It is a happy number.

It is a super-2 number, since 2×42120202082 = 35482228465200726528, which contains 22 as substring.

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, 2910141 + ... + 2911587.

It is an arithmetic number, because the mean of its divisors is an integer number (76758480).

Almost surely, 24212020208 is an apocalyptic number.

4212020208 is a gapful number since it is divisible by the number (48) 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 4212020208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140678400).

4212020208 is an abundant number, since it is smaller than the sum of its proper divisors (8069336592).

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

4212020208 is a wasteful number, since it uses less digits than its factorization.

4212020208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4212020208 is about 64900.0786440201. The cubic root of 4212020208 is about 1614.9663663372.

It can be divided in two parts, 4 and 212020208, that added together give a palindrome (212020212).

The spelling of 4212020208 in words is "four billion, two hundred twelve million, twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 149 176 222 264 296 298 407 444 447 528 592 596 814 888 894 1192 1221 1447 1628 1639 1776 1788 2384 2442 2894 3256 3278 3576 4341 4884 4917 5513 5788 6512 6556 7152 8682 9768 9834 11026 11576 13112 15917 16539 17364 19536 19668 22052 23152 26224 31834 33078 34728 39336 44104 47751 53539 60643 63668 66156 69456 78672 88208 95502 107078 121286 127336 132312 160617 181929 191004 214156 215603 242572 254672 264624 321234 363858 382008 428312 431206 485144 588929 642468 646809 727716 764016 856624 862412 970288 1177858 1284936 1293618 1455432 1724824 1766787 2355716 2371633 2569872 2587236 2910864 3449648 3533574 4711432 4743266 5174472 7067148 7114899 7977311 9422864 9486532 10348944 14134296 14229798 15954622 18973064 23931933 28268592 28459596 31909244 37946128 47863866 56919192 63818488 87750421 95727732 113838384 127636976 175500842 191455464 263251263 351001684 382910928 526502526 702003368 1053005052 1404006736 2106010104 4212020208