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1228332560 = 245713212979
BaseRepresentation
bin100100100110110…
…1101111000010000
310011121022202111112
41021031231320100
510003423120220
6321515232452
742303440330
oct11115557020
93147282445
101228332560
115803a8484
122a3448728
13167634500
14b91c70c0
1572c855c5
hex4936de10

1228332560 has 120 divisors (see below), whose sum is σ = 3534505920. Its totient is φ = 388717056.

The previous prime is 1228332533. The next prime is 1228332563. The reversal of 1228332560 is 652338221.

It is not an unprimeable number, because it can be changed into a prime (1228332563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88151 + ... + 101129.

It is an arithmetic number, because the mean of its divisors is an integer number (29454216).

Almost surely, 21228332560 is an apocalyptic number.

1228332560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228332560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767252960).

1228332560 is an abundant number, since it is smaller than the sum of its proper divisors (2306173360).

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

1228332560 is a wasteful number, since it uses less digits than its factorization.

1228332560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13025 (or 13006 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1228332560 is about 35047.5756650870. The cubic root of 1228332560 is about 1070.9568870476.

The spelling of 1228332560 in words is "one billion, two hundred twenty-eight million, three hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 169 182 208 260 280 338 364 455 520 560 676 728 845 910 1040 1183 1352 1456 1690 1820 2366 2704 3380 3640 4732 5915 6760 7280 9464 11830 12979 13520 18928 23660 25958 47320 51916 64895 90853 94640 103832 129790 168727 181706 207664 259580 337454 363412 454265 519160 674908 726824 843635 908530 1038320 1181089 1349816 1453648 1687270 1817060 2193451 2362178 2699632 3374540 3634120 4386902 4724356 5905445 6749080 7268240 8773804 9448712 10967255 11810890 13498160 15354157 17547608 18897424 21934510 23621780 30708314 35095216 43869020 47243560 61416628 76770785 87738040 94487120 122833256 153541570 175476080 245666512 307083140 614166280 1228332560