Search a number
-
+
22933138228 = 227112134312109
BaseRepresentation
bin10101010110111010…
…111110101100110100
32012012020202010110221
4111112322332230310
5333431340410403
614311344424124
71441206313210
oct252672765464
965166663427
1022933138228
1197a9182200
124540318044
13221627bba0
141177a85940
158e3503dbd
hex556ebeb34

22933138228 has 144 divisors (see below), whose sum is σ = 55560292480. Its totient is φ = 8055210240.

The previous prime is 22933138211. The next prime is 22933138247. The reversal of 22933138228 is 82283133922.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1887838 + ... + 1899946.

Almost surely, 222933138228 is an apocalyptic number.

22933138228 is a gapful number since it is divisible by the number (28) 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 22933138228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27780146240).

22933138228 is an abundant number, since it is smaller than the sum of its proper divisors (32627154252).

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

22933138228 is a wasteful number, since it uses less digits than its factorization.

22933138228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12198 (or 12185 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

It can be divided in two parts, 22933 and 138228, that added together give a palindrome (161161).

The spelling of 22933138228 in words is "twenty-two billion, nine hundred thirty-three million, one hundred thirty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 43 44 52 77 86 91 121 143 154 172 182 242 286 301 308 364 473 484 559 572 602 847 946 1001 1118 1204 1573 1694 1892 2002 2236 3146 3311 3388 3913 4004 5203 6149 6292 6622 7826 10406 11011 12109 12298 13244 15652 20812 22022 24218 24596 36421 43043 44044 48436 67639 72842 84763 86086 133199 135278 145684 157417 169526 172172 266398 270556 314834 339052 473473 520687 532796 629668 932393 946946 1041374 1101919 1465189 1731587 1864786 1893892 2082748 2203838 2930378 3463174 3644809 3729572 4407676 5727557 5860756 6768931 6926348 7289618 10256323 11455114 12121109 13537862 14579236 19047457 20512646 22910228 24242218 27075724 38094914 40092899 41025292 47382517 48484436 63003127 74458241 76189828 80185798 94765034 126006254 133332199 148916482 160371596 189530068 252012508 266664398 297832964 441021889 521207687 533328796 819040651 882043778 1042415374 1638081302 1764087556 2084830748 3276162604 5733284557 11466569114 22933138228