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334222320100 = 225223357143093
BaseRepresentation
bin1001101110100010011…
…00111110000111100100
31011221200112021000102011
410313101030332013210
520433441403220400
6413312320124004
733101224563334
oct4672114760744
91157615230364
10334222320100
11119819871979
1254936466604
1325694bb5b66
14122682530c4
158a61d258ba
hex4dd133e1e4

334222320100 has 36 divisors (see below), whose sum is σ = 725298554484. Its totient is φ = 133682270080.

The previous prime is 334222320077. The next prime is 334222320127. The reversal of 334222320100 is 1023222433.

It can be written as a sum of positive squares in 6 ways, for example, as 19575367744 + 314646952356 = 139912^2 + 560934^2 .

It is a super-2 number, since 2×3342223201002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2264154 + ... + 2407246.

It is an arithmetic number, because the mean of its divisors is an integer number (20147182069).

Almost surely, 2334222320100 is an apocalyptic number.

It is an amenable number.

334222320100 is an abundant number, since it is smaller than the sum of its proper divisors (391076234384).

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

334222320100 is a wasteful number, since it uses less digits than its factorization.

334222320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166464 (or 166457 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 334222320100 its reverse (1023222433), we get a palindrome (335245542533).

The spelling of 334222320100 in words is "three hundred thirty-four billion, two hundred twenty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 23357 46714 93428 116785 143093 233570 286186 467140 572372 583925 715465 1167850 1430930 2335700 2861860 3577325 7154650 14309300 3342223201 6684446402 13368892804 16711116005 33422232010 66844464020 83555580025 167111160050 334222320100