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1834225960 = 235716340189
BaseRepresentation
bin110110101010100…
…0001000100101000
311201211102022222211
41231111001010220
512224030212320
6502001454504
763311443360
oct15525010450
94654368884
101834225960
11861411126
12432341434
13233014708
141358659a0
15ab06955a
hex6d541128

1834225960 has 64 divisors (see below), whose sum is σ = 4745635200. Its totient is φ = 625003776.

The previous prime is 1834225951. The next prime is 1834226003. The reversal of 1834225960 is 695224381.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25546 + ... + 65734.

It is an arithmetic number, because the mean of its divisors is an integer number (74150550).

Almost surely, 21834225960 is an apocalyptic number.

1834225960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1834225960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372817600).

1834225960 is an abundant number, since it is smaller than the sum of its proper divisors (2911409240).

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

1834225960 is a wasteful number, since it uses less digits than its factorization.

1834225960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40370 (or 40366 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 1834225960 is about 42827.8642941718. The cubic root of 1834225960 is about 1224.1020124440.

The spelling of 1834225960 in words is "one billion, eight hundred thirty-four million, two hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 163 280 326 652 815 1141 1304 1630 2282 3260 4564 5705 6520 9128 11410 22820 40189 45640 80378 160756 200945 281323 321512 401890 562646 803780 1125292 1406615 1607560 2250584 2813230 5626460 6550807 11252920 13101614 26203228 32754035 45855649 52406456 65508070 91711298 131016140 183422596 229278245 262032280 366845192 458556490 917112980 1834225960