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2228837904 = 243317303491
BaseRepresentation
bin1000010011011001…
…0101111000010000
312202022221200211000
42010312111320100
514031040303104
61005055422000
7106142544456
oct20466257020
95668850730
102228837904
11a441369a7
12522524900
132969ba6c7
141720269d6
15d0a16639
hex84d95e10

2228837904 has 80 divisors (see below), whose sum is σ = 6773941440. Its totient is φ = 699240960.

The previous prime is 2228837903. The next prime is 2228837917. The reversal of 2228837904 is 4097388222.

It is a super-2 number, since 2×22288379042 = 9935436804614226432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2228837904.

It is not an unprimeable number, because it can be changed into a prime (2228837903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144402 + ... + 159089.

It is an arithmetic number, because the mean of its divisors is an integer number (84674268).

Almost surely, 22228837904 is an apocalyptic number.

2228837904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2228837904 is an abundant number, since it is smaller than the sum of its proper divisors (4545103536).

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

2228837904 is a wasteful number, since it uses less digits than its factorization.

2228837904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303525 (or 303513 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2228837904 is about 47210.5698334600. The cubic root of 2228837904 is about 1306.2495733643.

The spelling of 2228837904 in words is "two billion, two hundred twenty-eight million, eight hundred thirty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 303491 606982 910473 1213964 1820946 2427928 2731419 3641892 4855856 5159347 5462838 7283784 8194257 10318694 10925676 14567568 15478041 16388514 20637388 21851352 30956082 32777028 41274776 43702704 46434123 61912164 65554056 82549552 92868246 123824328 131108112 139302369 185736492 247648656 278604738 371472984 557209476 742945968 1114418952 2228837904