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4012211220 = 2235597271559
BaseRepresentation
bin1110111100100101…
…0111110000010100
3101100121200110002120
43233021113300110
531204111224340
61502043335540
7201266142543
oct35711276024
911317613076
104012211220
111779874746
1293b8215b0
134bc3088a4
142a0c1215a
151873884d0
hexef257c14

4012211220 has 96 divisors (see below), whose sum is σ = 11447654400. Its totient is φ = 1049668224.

The previous prime is 4012211197. The next prime is 4012211233. The reversal of 4012211220 is 221122104.

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 4012211220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2572801 + ... + 2574359.

It is an arithmetic number, because the mean of its divisors is an integer number (119246400).

Almost surely, 24012211220 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 4012211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723827200).

4012211220 is an abundant number, since it is smaller than the sum of its proper divisors (7435443180).

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

4012211220 is a wasteful number, since it uses less digits than its factorization.

4012211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4012211220 is about 63342.0178080869. The cubic root of 4012211220 is about 1589.0147529319.

Adding to 4012211220 its reverse (221122104), we get a palindrome (4233333324).

The spelling of 4012211220 in words is "four billion, twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 727 885 1180 1454 1559 1770 2181 2908 3118 3540 3635 4362 4677 6236 7270 7795 8724 9354 10905 14540 15590 18708 21810 23385 31180 42893 43620 46770 85786 91981 93540 128679 171572 183962 214465 257358 275943 367924 428930 459905 514716 551886 643395 857860 919810 1103772 1133393 1286790 1379715 1839620 2266786 2573580 2759430 3400179 4533572 5518860 5666965 6800358 11333930 13600716 17000895 22667860 34001790 66870187 68003580 133740374 200610561 267480748 334350935 401221122 668701870 802442244 1003052805 1337403740 2006105610 4012211220