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228840230480 = 2459533001577
BaseRepresentation
bin1101010100011111110…
…0001100111001010000
3210212200021021012011212
43111013330030321100
512222131044333410
6253043332155252
722350605602421
oct3250774147120
9725607235155
10228840230480
1189061387224
1238426168b28
131876c337504
14b10c4ad648
155e4535cb05
hex3547f0ce50

228840230480 has 40 divisors (see below), whose sum is σ = 532612006632. Its totient is φ = 91440011264.

The previous prime is 228840230449. The next prime is 228840230579. The reversal of 228840230480 is 84032048822.

228840230480 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 9763811344 + 219076419136 = 98812^2 + 468056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2288402304803 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1424549 + ... + 1577028.

Almost surely, 2228840230480 is an apocalyptic number.

228840230480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228840230480 is an abundant number, since it is smaller than the sum of its proper divisors (303771776152).

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

228840230480 is a wasteful number, since it uses less digits than its factorization.

228840230480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002543 (or 3002537 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 41.

The spelling of 228840230480 in words is "two hundred twenty-eight billion, eight hundred forty million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 953 1906 3812 4765 7624 9530 15248 19060 38120 76240 3001577 6003154 12006308 15007885 24012616 30015770 48025232 60031540 120063080 240126160 2860502881 5721005762 11442011524 14302514405 22884023048 28605028810 45768046096 57210057620 114420115240 228840230480