Search a number
-
+
228048255720 = 233255641112297
BaseRepresentation
bin1101010001100010111…
…1000011101011101000
3210210122002000201001100
43110120233003223220
512214020323140340
6252433001321400
722322151122205
oct3243057035350
9723562021040
10228048255720
118879532792a
1238244a96260
13186742343ac
14b075232cac
155deaa6d830
hex3518bc3ae8

228048255720 has 96 divisors (see below), whose sum is σ = 741294819720. Its totient is φ = 60801546240.

The previous prime is 228048255713. The next prime is 228048255733. The reversal of 228048255720 is 27552840822.

228048255720 is a `hidden beast` number, since 22 + 80 + 482 + 5 + 5 + 72 + 0 = 666.

228048255720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 221835348036 + 6212907684 = 470994^2 + 78822^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1974612 + ... + 2086908.

Almost surely, 2228048255720 is an apocalyptic number.

228048255720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228048255720 is an abundant number, since it is smaller than the sum of its proper divisors (513246564000).

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

228048255720 is a wasteful number, since it uses less digits than its factorization.

228048255720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117955 (or 117948 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 228048255720 in words is "two hundred twenty-eight billion, forty-eight million, two hundred fifty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5641 11282 16923 22564 28205 33846 45128 50769 56410 67692 84615 101538 112297 112820 135384 169230 203076 224594 225640 253845 336891 338460 406152 449188 507690 561485 673782 676920 898376 1010673 1015380 1122970 1347564 1684455 2021346 2030760 2245940 2695128 3368910 4042692 4491880 5053365 6737820 8085384 10106730 13475640 20213460 40426920 633467377 1266934754 1900402131 2533869508 3167336885 3800804262 5067739016 5701206393 6334673770 7601608524 9502010655 11402412786 12669347540 15203217048 19004021310 22804825572 25338695080 28506031965 38008042620 45609651144 57012063930 76016085240 114024127860 228048255720