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335225385000 = 23345411471601
BaseRepresentation
bin1001110000011001111…
…11010111000000101000
31012001021102200222210000
410320030333113000220
520443020144310000
6414000031223000
733135124520652
oct4701477270050
91161242628700
10335225385000
1111a193a99430
1254b76377a60
13257c495709c
141232155b6d2
158abee10000
hex4e0cfd7028

335225385000 has 800 divisors, whose sum is σ = 1308014801280. Its totient is φ = 79488000000.

The previous prime is 335225384993. The next prime is 335225385031. The reversal of 335225385000 is 583522533.

335225385000 is a `hidden beast` number, since 3 + 3 + 522 + 53 + 85 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3352253850002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 209384200 + ... + 209385800.

Almost surely, 2335225385000 is an apocalyptic number.

335225385000 is a gapful number since it is divisible by the number (30) 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 335225385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654007400640).

335225385000 is an abundant number, since it is smaller than the sum of its proper divisors (972789416280).

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

335225385000 is a wasteful number, since it uses less digits than its factorization.

335225385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

It can be divided in two parts, 3352 and 25385000, that added together give a palindrome (25388352).

The spelling of 335225385000 in words is "three hundred thirty-five billion, two hundred twenty-five million, three hundred eighty-five thousand".