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34800222448 = 2473281106031
BaseRepresentation
bin100000011010010000…
…010100000011110000
310022211021202110122201
4200122100110003300
51032232324104243
623553105312544
72341245003325
oct403220240360
9108737673581
1034800222448
1113838900222
1268b2635754
133387a16a04
141981b84b4c
15d8a26c04d
hex81a4140f0

34800222448 has 40 divisors (see below), whose sum is σ = 68592949056. Its totient is φ = 17100518400.

The previous prime is 34800222437. The next prime is 34800222449. The reversal of 34800222448 is 84422200843.

It is a super-2 number, since 2×348002224482 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34800222449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275193 + ... + 381223.

Almost surely, 234800222448 is an apocalyptic number.

It is an amenable number.

34800222448 is a deficient number, since it is larger than the sum of its proper divisors (33792726608).

34800222448 is a wasteful number, since it uses less digits than its factorization.

34800222448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106393 (or 106387 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The spelling of 34800222448 in words is "thirty-four billion, eight hundred million, two hundred twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 73 146 281 292 562 584 1124 1168 2248 4496 20513 41026 82052 106031 164104 212062 328208 424124 848248 1696496 7740263 15480526 29794711 30961052 59589422 61922104 119178844 123844208 238357688 476715376 2175013903 4350027806 8700055612 17400111224 34800222448