Search a number
-
+
226053640020 = 2235131392084981
BaseRepresentation
bin1101001010000111011…
…0001100111101010100
3210121111001210201200210
43102201312030331110
512200424212440040
6251503030005420
722221551144115
oct3224166147524
9717431721623
10226053640020
11879614285aa
1237988aa6870
1318416c23a10
14ad2637a20c
155d308c1480
hex34a1d8cf54

226053640020 has 96 divisors (see below), whose sum is σ = 686542872960. Its totient is φ = 55243630080.

The previous prime is 226053639949. The next prime is 226053640063. The reversal of 226053640020 is 20046350622.

226053640020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260536400202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 226053640020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934071 + ... + 1150910.

It is an arithmetic number, because the mean of its divisors is an integer number (7151488260).

Almost surely, 2226053640020 is an apocalyptic number.

226053640020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226053640020 is an abundant number, since it is smaller than the sum of its proper divisors (460489232940).

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

226053640020 is a wasteful number, since it uses less digits than its factorization.

226053640020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085145 (or 2085143 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 226053640020 its reverse (20046350622), we get a palindrome (246099990642).

The spelling of 226053640020 in words is "two hundred twenty-six billion, fifty-three million, six hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 139 156 195 260 278 390 417 556 695 780 834 1390 1668 1807 2085 2780 3614 4170 5421 7228 8340 9035 10842 18070 21684 27105 36140 54210 108420 2084981 4169962 6254943 8339924 10424905 12509886 20849810 25019772 27104753 31274715 41699620 54209506 62549430 81314259 108419012 125098860 135523765 162628518 271047530 289812359 325257036 406571295 542095060 579624718 813142590 869437077 1159249436 1449061795 1626285180 1738874154 2898123590 3477748308 3767560667 4347185385 5796247180 7535121334 8694370770 11302682001 15070242668 17388741540 18837803335 22605364002 37675606670 45210728004 56513410005 75351213340 113026820010 226053640020