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2228684880 = 243559157393
BaseRepresentation
bin1000010011010111…
…0000100001010000
312202022122220220110
42010311300201100
514031020404010
61005052241320
7106141336362
oct20465604120
95668586813
102228684880
11a44041a34
12522470240
13296965b66
14171dc6d32
15d09d6120
hex84d70850

2228684880 has 80 divisors (see below), whose sum is σ = 7026068160. Its totient is φ = 584239104.

The previous prime is 2228684839. The next prime is 2228684893. The reversal of 2228684880 is 884868222.

It is a happy number.

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

It is a super-2 number, since 2×22286848802 = 9934072588681228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 64537 + ... + 92856.

It is an arithmetic number, because the mean of its divisors is an integer number (87825852).

Almost surely, 22228684880 is an apocalyptic number.

2228684880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2228684880 is an abundant number, since it is smaller than the sum of its proper divisors (4797383280).

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

2228684880 is a wasteful number, since it uses less digits than its factorization.

2228684880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157468 (or 157462 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The square root of 2228684880 is about 47208.9491516174. The cubic root of 2228684880 is about 1306.2196785465.

The spelling of 2228684880 in words is "two billion, two hundred twenty-eight million, six hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 157393 314786 472179 629572 786965 944358 1259144 1573930 1888716 2360895 2518288 3147860 3777432 4721790 6295720 7554864 9286187 9443580 12591440 18572374 18887160 27858561 37144748 37774320 46430935 55717122 74289496 92861870 111434244 139292805 148578992 185723740 222868488 278585610 371447480 445736976 557171220 742894960 1114342440 2228684880