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228030085440 = 263458797457
BaseRepresentation
bin1101010001011110100…
…1101111100101000000
3210210120210211120010000
43110113221233211000
512214001200213230
6252431112040000
722321540513503
oct3242751574500
9723523746100
10228030085440
1188786047273
123823a993000
1318670541a51
14b072a6313a
155de917eb60
hex3517a6f940

228030085440 has 140 divisors (see below), whose sum is σ = 811143222516. Its totient is φ = 60808015872.

The previous prime is 228030085391. The next prime is 228030085447. The reversal of 228030085440 is 44580030822.

228030085440 is a `hidden beast` number, since 2 + 2 + 80 + 30 + 0 + 8 + 544 + 0 = 666.

228030085440 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 2 ways, for example, as 158359427136 + 69670658304 = 397944^2 + 263952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 228030085395 and 228030085404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228030085447) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 4372809 + ... + 4424648.

Almost surely, 2228030085440 is an apocalyptic number.

228030085440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228030085440 is an abundant number, since it is smaller than the sum of its proper divisors (583113137076).

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

228030085440 is an equidigital number, since it uses as much as digits as its factorization.

228030085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8797486 (or 8797467 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 228030085440 in words is "two hundred twenty-eight billion, thirty million, eighty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 8797457 17594914 26392371 35189828 43987285 52784742 70379656 79177113 87974570 105569484 131961855 140759312 158354226 175949140 211138968 237531339 263923710 281518624 316708452 351898280 395885565 422277936 475062678 527847420 563037248 633416904 703796560 712594017 791771130 844555872 950125356 1055694840 1187656695 1266833808 1407593120 1425188034 1583542260 1689111744 1900250712 2111389680 2375313390 2533667616 2815186240 2850376068 3167084520 3562970085 3800501424 4222779360 4750626780 5067335232 5700752136 6334169040 7125940170 7601002848 8445558720 9501253560 11401504272 12668338080 14251880340 15202005696 19002507120 22803008544 25336676160 28503760680 38005014240 45606017088 57007521360 76010028480 114015042720 228030085440