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3022294842 = 234731149577
BaseRepresentation
bin1011010000100100…
…1000111100111010
321210121222111010000
42310021020330322
522142201413332
61215522133430
7134616040140
oct26411107472
97717874100
103022294842
111311008936
127041b1276
133921bc358
1420956b590
1512a4e9b7c
hexb4248f3a

3022294842 has 160 divisors (see below), whose sum is σ = 8056857600. Its totient is φ = 828610560.

The previous prime is 3022294823. The next prime is 3022294859. The reversal of 3022294842 is 2484922203.

It is a super-2 number, since 2×30222948422 = 18268532223959609928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3022294797 and 3022294806.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5237658 + ... + 5238234.

It is an arithmetic number, because the mean of its divisors is an integer number (50355360).

Almost surely, 23022294842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3022294842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028428800).

3022294842 is an abundant number, since it is smaller than the sum of its proper divisors (5034562758).

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

3022294842 is a wasteful number, since it uses less digits than its factorization.

3022294842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3022294842 is about 54975.4021540543. The cubic root of 3022294842 is about 1445.8135036075.

The spelling of 3022294842 in words is "three billion, twenty-two million, two hundred ninety-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 149 162 186 189 217 279 298 378 434 447 558 567 577 651 837 894 1043 1134 1154 1302 1341 1674 1731 1953 2086 2511 2682 3129 3462 3906 4023 4039 4619 5022 5193 5859 6258 8046 8078 9238 9387 10386 11718 12069 12117 13857 15579 17577 17887 18774 24138 24234 27714 28161 31158 32333 35154 35774 36351 41571 46737 53661 56322 64666 72702 83142 84483 85973 93474 96999 107322 109053 124713 125209 160983 168966 171946 193998 218106 249426 250418 257919 290997 321966 327159 374139 375627 482949 515838 581994 601811 654318 748278 751254 773757 872991 965898 1126881 1203622 1448847 1547514 1745982 1805433 2253762 2321271 2618973 2665163 2897694 3380643 3610866 4642542 5237946 5330326 5416299 6761286 6963813 7995489 10141929 10832598 13927626 15990978 16248897 18656141 20283858 23986467 32497794 37312282 47972934 48746691 55968423 71959401 97493382 111936846 143918802 167905269 215878203 335810538 431756406 503715807 1007431614 1511147421 3022294842