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8228905472 = 291922112
BaseRepresentation
bin1111010100111101…
…10010001000000000
3210020111010201011202
413222132302020000
5113323044433342
63440314000332
7410630354024
oct75236621000
923214121152
108228905472
113543003527
121717a160a8
13a11aab148
14580c52384
15332664332
hex1ea7b2200

8228905472 has 90 divisors (see below), whose sum is σ = 17435268279. Its totient is φ = 3879429120.

The previous prime is 8228905457. The next prime is 8228905511. The reversal of 8228905472 is 2745098228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4114452736 + 4114452736 = 64144^2 + 64144^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=64144.

It is a super-2 number, since 2×82289054722 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38999447 + ... + 38999657.

Almost surely, 28228905472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8228905472

8228905472 is an abundant number, since it is smaller than the sum of its proper divisors (9206362807).

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

8228905472 is an frugal number, since it uses more digits than its factorization.

8228905472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 8228905472 is about 90713.3147448598. The cubic root of 8228905472 is about 2018.8963575550.

The spelling of 8228905472 in words is "eight billion, two hundred twenty-eight million, nine hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 211 256 304 361 422 512 608 722 844 1216 1444 1688 2432 2888 3376 4009 4864 5776 6752 8018 9728 11552 13504 16036 23104 27008 32072 44521 46208 54016 64144 76171 89042 92416 108032 128288 152342 178084 184832 256576 304684 356168 513152 609368 712336 845899 1026304 1218736 1424672 1691798 2052608 2437472 2849344 3383596 4874944 5698688 6767192 9749888 11397376 13534384 16072081 19499776 22794752 27068768 32144162 38999552 54137536 64288324 108275072 128576648 216550144 257153296 433100288 514306592 1028613184 2057226368 4114452736 8228905472