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228461540160 = 2635733997253
BaseRepresentation
bin1101010011000101011…
…1100111001101000000
3210211200212200201201110
43110301113213031000
512220342123241120
6252542003403320
722335330023130
oct3246127471500
9724625621643
10228461540160
1188987646617
123833b383540
131870ba474b9
14b0b4094ac0
155e21ea82e0
hex35315e7340

228461540160 has 112 divisors (see below), whose sum is σ = 828989041536. Its totient is φ = 52219779072.

The previous prime is 228461540129. The next prime is 228461540173. The reversal of 228461540160 is 61045164822.

It is a happy number.

228461540160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16991907 + ... + 17005346.

Almost surely, 2228461540160 is an apocalyptic number.

228461540160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228461540160 is an abundant number, since it is smaller than the sum of its proper divisors (600527501376).

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

228461540160 is a wasteful number, since it uses less digits than its factorization.

228461540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33997280 (or 33997270 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 228461540160 in words is "two hundred twenty-eight billion, four hundred sixty-one million, five hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 33997253 67994506 101991759 135989012 169986265 203983518 237980771 271978024 339972530 407967036 475961542 509958795 543956048 679945060 713942313 815934072 951923084 1019917590 1087912096 1189903855 1359890120 1427884626 1631868144 1903846168 2039835180 2175824192 2379807710 2719780240 2855769252 3263736288 3569711565 3807692336 4079670360 4759615420 5439560480 5711538504 6527472576 7139423130 7615384672 8159340720 9519230840 10879120960 11423077008 14278846260 15230769344 16318681440 19038461680 22846154016 28557692520 32637362880 38076923360 45692308032 57115385040 76153846720 114230770080 228461540160