Search a number
-
+
212022567168 = 2834323926863
BaseRepresentation
bin1100010101110110000…
…1111010000100000000
3202021021012212101011220
43011131201322010000
511433210234122133
6241222443235040
721214055041146
oct3053541720400
9667235771156
10212022567168
1181a11236925
1235111b18a80
1316cbc055749
14a394ad5596
1557adba15b3
hex315d87a100

212022567168 has 144 divisors (see below), whose sum is σ = 579849768960. Its totient is φ = 68739213312.

The previous prime is 212022567167. The next prime is 212022567193. The reversal of 212022567168 is 861765220212.

It is not an unprimeable number, because it can be changed into a prime (212022567167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7879305 + ... + 7906167.

Almost surely, 2212022567168 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 212022567168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289924884480).

212022567168 is an abundant number, since it is smaller than the sum of its proper divisors (367827201792).

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

212022567168 is a wasteful number, since it uses less digits than its factorization.

212022567168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27164 (or 27150 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 212022567168 in words is "two hundred twelve billion, twenty-two million, five hundred sixty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 239 256 258 344 384 478 516 688 717 768 956 1032 1376 1434 1912 2064 2752 2868 3824 4128 5504 5736 7648 8256 10277 11008 11472 15296 16512 20554 22944 26863 30592 30831 33024 41108 45888 53726 61184 61662 80589 82216 91776 107452 123324 161178 164432 183552 214904 246648 322356 328864 429808 493296 644712 657728 859616 986592 1155109 1289424 1315456 1719232 1973184 2310218 2578848 2630912 3438464 3465327 3946368 4620436 5157696 6420257 6876928 6930654 7892736 9240872 10315392 12840514 13861308 18481744 19260771 20630784 25681028 27722616 36963488 38521542 51362056 55445232 73926976 77043084 102724112 110890464 147853952 154086168 205448224 221780928 276071051 295707904 308172336 410896448 443561856 552142102 616344672 821792896 828213153 887123712 1104284204 1232689344 1643585792 1656426306 2208568408 2465378688 3312852612 4417136816 4930757376 6625705224 8834273632 13251410448 17668547264 26502820896 35337094528 53005641792 70674189056 106011283584 212022567168