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2830120722 = 2341113122167
BaseRepresentation
bin1010100010110000…
…0011011100010010
321022020101000210000
42220230003130102
521244002330342
61144455150430
7130063425552
oct25054033422
97266330700
102830120722
111222590650
1266b975416
13361445160
141cbc25162
151186d944c
hexa8b03712

2830120722 has 80 divisors (see below), whose sum is σ = 7450293312. Its totient is φ = 791635680.

The previous prime is 2830120703. The next prime is 2830120729. The reversal of 2830120722 is 2270210382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2830120729) 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 39 ways as a sum of consecutive naturals, for example, 37918 + ... + 84249.

Almost surely, 22830120722 is an apocalyptic number.

2830120722 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2830120722 is an abundant number, since it is smaller than the sum of its proper divisors (4620172590).

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

2830120722 is a wasteful number, since it uses less digits than its factorization.

2830120722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122205 (or 122196 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2830120722 is about 53198.8789543539. The cubic root of 2830120722 is about 1414.4957722626.

The spelling of 2830120722 in words is "two billion, eight hundred thirty million, one hundred twenty thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1287 1782 2106 2574 3861 7722 11583 23166 122167 244334 366501 733002 1099503 1343837 1588171 2199006 2687674 3176342 3298509 4031511 4764513 6597018 8063022 9529026 9895527 12094533 14293539 17469881 19791054 24189066 28587078 34939762 36283599 42880617 52409643 72567198 85761234 104819286 108850797 128641851 157228929 217701594 257283702 314457858 471686787 943373574 1415060361 2830120722