Search a number
-
+
20228603437920 = 2535270311559059
BaseRepresentation
bin1001001100101110101101…
…01110001110001101100000
32122121211120011011101111210
410212113112232032031200
510122411134440003140
6111004520411110120
74155316436131113
oct446272656161540
978554504141453
1020228603437920
1164999a2311529
122328532442340
13b3971a5512b7
144dd0d90cc57a
152512d451cd80
hex1265d6b8e360

20228603437920 has 96 divisors (see below), whose sum is σ = 63722498999040. Its totient is φ = 5394091230720.

The previous prime is 20228603437909. The next prime is 20228603437921. The reversal of 20228603437920 is 2973430682202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20228603437920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20228603437921) 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, 12195351 + ... + 13754409.

It is an arithmetic number, because the mean of its divisors is an integer number (663776031240).

Almost surely, 220228603437920 is an apocalyptic number.

20228603437920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20228603437920 is an abundant number, since it is smaller than the sum of its proper divisors (43493895561120).

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

20228603437920 is a wasteful number, since it uses less digits than its factorization.

20228603437920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586108 (or 1586100 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 20228603437920 in words is "twenty trillion, two hundred twenty-eight billion, six hundred three million, four hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 27031 54062 81093 108124 135155 162186 216248 270310 324372 405465 432496 540620 648744 810930 864992 1081240 1297488 1559059 1621860 2162480 2594976 3118118 3243720 4324960 4677177 6236236 6487440 7795295 9354354 12472472 12974880 15590590 18708708 23385885 24944944 31181180 37417416 46771770 49889888 62362360 74834832 93543540 124724720 149669664 187087080 249449440 374174160 748348320 42142923829 84285847658 126428771487 168571695316 210714619145 252857542974 337143390632 421429238290 505715085948 632143857435 674286781264 842858476580 1011430171896 1264287714870 1348573562528 1685716953160 2022860343792 2528575429740 3371433906320 4045720687584 5057150859480 6742867812640 10114301718960 20228603437920