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228446404505064 = 2334352540747693
BaseRepresentation
bin110011111100010101010010…
…110010100110110111101000
31002221212021002201022102220000
4303330111102302212313220
5214420331214023130224
62125510455053303000
766055464603133134
oct6374252262466750
91087767081272800
10228446404505064
1166876637837449
122175653a794a60
139a61532681405
14405ac176b83c4
151b626366570c9
hexcfc552ca6de8

228446404505064 has 40 divisors (see below), whose sum is σ = 639861457064610. Its totient is φ = 76148801501472.

The previous prime is 228446404505057. The next prime is 228446404505071. The reversal of 228446404505064 is 460505404644822.

228446404505064 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 46 + 40 + 4 + 50 + 506 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (228446404505057) and next prime (228446404505071).

It can be written as a sum of positive squares in only one way, i.e., 227377748902500 + 1068655602564 = 15079050^2 + 1033758^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 228446404505064.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 176270373199 + ... + 176270374494.

Almost surely, 2228446404505064 is an apocalyptic number.

228446404505064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228446404505064 is an abundant number, since it is smaller than the sum of its proper divisors (411415052559546).

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

228446404505064 is a wasteful number, since it uses less digits than its factorization.

228446404505064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352540747711 (or 352540747698 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 54.

The spelling of 228446404505064 in words is "two hundred twenty-eight trillion, four hundred forty-six billion, four hundred four million, five hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 352540747693 705081495386 1057622243079 1410162990772 2115244486158 2820325981544 3172866729237 4230488972316 6345733458474 8460977944632 9518600187711 12691466916948 19037200375422 25382933833896 28555800563133 38074400750844 57111601126266 76148801501688 114223202252532 228446404505064