Search a number
-
+
22667152420420 = 2255348134442989
BaseRepresentation
bin1010010011101100110111…
…00100010110111001000100
32222020221212211021211011021
411021312123210112321010
510432334312004423140
6120113051314520524
74526435111362234
oct511663344267104
988227784254137
1022667152420420
11724a0a3678832
122661067596144
13c856709a4201
1458514b719cc4
15294958309b4a
hex149d9b916e44

22667152420420 has 48 divisors (see below), whose sum is σ = 48509240154480. Its totient is φ = 8893937834496.

The previous prime is 22667152420397. The next prime is 22667152420427. The reversal of 22667152420420 is 2402425176622.

It can be written as a sum of positive squares in 8 ways, for example, as 192138448896 + 22475013971524 = 438336^2 + 4740782^2 .

It is not an unprimeable number, because it can be changed into a prime (22667152420427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2880286 + ... + 7323274.

It is an arithmetic number, because the mean of its divisors is an integer number (1010609169885).

Almost surely, 222667152420420 is an apocalyptic number.

22667152420420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22667152420420 is an abundant number, since it is smaller than the sum of its proper divisors (25842087734060).

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

22667152420420 is a wasteful number, since it uses less digits than its factorization.

22667152420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447864 (or 4447862 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 22667152420420 in words is "twenty-two trillion, six hundred sixty-seven billion, one hundred fifty-two million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 4813 9626 19252 24065 48130 96260 255089 510178 1020356 1275445 2550890 4442989 5101780 8885978 17771956 22214945 44429890 88859780 235478417 470956834 941913668 1177392085 2354784170 4709568340 21384106057 42768212114 85536424228 106920530285 213841060570 427682121140 1133357621021 2266715242042 4533430484084 5666788105105 11333576210210 22667152420420