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4212241000 = 2353111672293
BaseRepresentation
bin1111101100010001…
…1011001001101000
3101212120002000100221
43323010123021220
532111313203000
61533550535424
7206245313002
oct37304331150
911776060327
104212241000
111871778010
12996807574
135218a35c6
142bd601372
15199beb61a
hexfb11b268

4212241000 has 128 divisors (see below), whose sum is σ = 10821807360. Its totient is φ = 1521888000.

The previous prime is 4212240937. The next prime is 4212241001. The reversal of 4212241000 is 1422124.

4212241000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4212241001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1835854 + ... + 1838146.

It is an arithmetic number, because the mean of its divisors is an integer number (84545370).

Almost surely, 24212241000 is an apocalyptic number.

4212241000 is a gapful number since it is divisible by the number (40) 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 4212241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410903680).

4212241000 is an abundant number, since it is smaller than the sum of its proper divisors (6609566360).

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

4212241000 is a wasteful number, since it uses less digits than its factorization.

4212241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4212241000 is about 64901.7796366171. The cubic root of 4212241000 is about 1614.9945844214.

Adding to 4212241000 its reverse (1422124), we get a palindrome (4213663124).

It can be divided in two parts, 421224 and 1000, that added together give a palindrome (422224).

The spelling of 4212241000 in words is "four billion, two hundred twelve million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 167 200 220 250 275 334 440 500 550 668 835 1000 1100 1336 1375 1670 1837 2200 2293 2750 3340 3674 4175 4586 5500 6680 7348 8350 9172 9185 11000 11465 14696 16700 18344 18370 20875 22930 25223 33400 36740 41750 45860 45925 50446 57325 73480 83500 91720 91850 100892 114650 126115 167000 183700 201784 229300 229625 252230 286625 367400 382931 458600 459250 504460 573250 630575 765862 918500 1008920 1146500 1261150 1531724 1837000 1914655 2293000 2522300 3063448 3152875 3829310 4212241 5044600 6305750 7658620 8424482 9573275 12611500 15317240 16848964 19146550 21061205 25223000 33697928 38293100 42122410 47866375 76586200 84244820 95732750 105306025 168489640 191465500 210612050 382931000 421224100 526530125 842448200 1053060250 2106120500 4212241000