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3022468900 = 2252117934781
BaseRepresentation
bin1011010000100111…
…0011011100100100
321210122022022212121
42310021303130210
522142223001100
61215525555324
7134620363453
oct26411633444
97718268777
103022468900
111311117690
12704275b44
13392250649
142095b4b9a
1512a53151a
hexb4273724

3022468900 has 72 divisors (see below), whose sum is σ = 7245786240. Its totient is φ = 1085136000.

The previous prime is 3022468861. The next prime is 3022468921. The reversal of 3022468900 is 98642203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69510 + ... + 104290.

It is an arithmetic number, because the mean of its divisors is an integer number (100635920).

Almost surely, 23022468900 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 3022468900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622893120).

3022468900 is an abundant number, since it is smaller than the sum of its proper divisors (4223317340).

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

3022468900 is a wasteful number, since it uses less digits than its factorization.

3022468900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34885 (or 34878 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3022468900 is about 54976.9851847116. The cubic root of 3022468900 is about 1445.8412585188.

The spelling of 3022468900 in words is "three billion, twenty-two million, four hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 395 550 790 869 1100 1580 1738 1975 3476 3950 4345 7900 8690 17380 21725 34781 43450 69562 86900 139124 173905 347810 382591 695620 765182 869525 1530364 1739050 1912955 2747699 3478100 3825910 5495398 7651820 9564775 10990796 13738495 19129550 27476990 30224689 38259100 54953980 60449378 68692475 120898756 137384950 151123445 274769900 302246890 604493780 755617225 1511234450 3022468900