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1228048560 = 24335568541
BaseRepresentation
bin100100100110010…
…1000100010110000
310011120210022221000
41021030220202300
510003340023220
6321505202000
742301145334
oct11114504260
93146708830
101228048560
11580224072
122a3330300
1316756516b
14b91517c4
1572c2b390
hex493288b0

1228048560 has 80 divisors (see below), whose sum is σ = 4229952480. Its totient is φ = 327479040.

The previous prime is 1228048541. The next prime is 1228048573. The reversal of 1228048560 is 658408221.

1228048560 is a `hidden beast` number, since 12 + 2 + 80 + 4 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282111 + ... + 286430.

It is an arithmetic number, because the mean of its divisors is an integer number (52874406).

Almost surely, 21228048560 is an apocalyptic number.

1228048560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1228048560 is an abundant number, since it is smaller than the sum of its proper divisors (3001903920).

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

1228048560 is a wasteful number, since it uses less digits than its factorization.

1228048560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568563 (or 568551 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1228048560 is about 35043.5237954176. The cubic root of 1228048560 is about 1070.8743428438.

The spelling of 1228048560 in words is "one billion, two hundred twenty-eight million, forty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 568541 1137082 1705623 2274164 2842705 3411246 4548328 5116869 5685410 6822492 8528115 9096656 10233738 11370820 13644984 15350607 17056230 20467476 22741640 25584345 27289968 30701214 34112460 40934952 45483280 51168690 61402428 68224920 76753035 81869904 102337380 122804856 136449840 153506070 204674760 245609712 307012140 409349520 614024280 1228048560