Search a number
-
+
4226226048 = 273211230319
BaseRepresentation
bin1111101111100111…
…0001011110000000
3101220112101112020200
43323321301132000
532123403213143
61535210405200
7206505220512
oct37371613600
911815345220
104226226048
11187965a200
1299b430800
1352475bc95
142c1401bb2
1519b0601d3
hexfbe71780

4226226048 has 144 divisors (see below), whose sum is σ = 13367936400. Its totient is φ = 1280632320.

The previous prime is 4226226047. The next prime is 4226226049. The reversal of 4226226048 is 8406226224.

4226226048 is a `hidden beast` number, since 4 + 2 + 26 + 22 + 604 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4226226047) and next prime (4226226049).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226226047) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 124233 + ... + 154551.

Almost surely, 24226226048 is an apocalyptic number.

4226226048 is a gapful number since it is divisible by the number (48) 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 4226226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683968200).

4226226048 is an abundant number, since it is smaller than the sum of its proper divisors (9141710352).

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

4226226048 is a wasteful number, since it uses less digits than its factorization.

4226226048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30361 (or 30335 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4226226048 is about 65009.4304543579. The cubic root of 4226226048 is about 1616.7799228458.

The spelling of 4226226048 in words is "four billion, two hundred twenty-six million, two hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3872 4224 4356 5808 6336 7744 8712 11616 12672 15488 17424 23232 30319 34848 46464 60638 69696 90957 121276 139392 181914 242552 272871 333509 363828 485104 545742 667018 727656 970208 1000527 1091484 1334036 1455312 1940416 2001054 2182968 2668072 2910624 3001581 3668599 3880832 4002108 4365936 5336144 5821248 6003162 7337198 8004216 8731872 10672288 11005797 11642496 12006324 14674396 16008432 17463744 21344576 22011594 24012648 29348792 32016864 33017391 34927488 42689152 44023188 48025296 58697584 64033728 66034782 88046376 96050592 117395168 128067456 132069564 176092752 192101184 234790336 264139128 352185504 384202368 469580672 528278256 704371008 1056556512 1408742016 2113113024 4226226048