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898122240 = 29325172293
BaseRepresentation
bin110101100010000…
…100001000000000
32022120222100002200
4311202010020000
53314404402430
6225041513200
731153625121
oct6542041000
92276870080
10898122240
11420a6a594
12210942800
131140b9aa2
14873cc048
1553caa460
hex35884200

898122240 has 240 divisors, whose sum is σ = 3294853848. Its totient is φ = 225312768.

The previous prime is 898122233. The next prime is 898122263. The reversal of 898122240 is 42221898.

It can be written as a sum of positive squares in 4 ways, for example, as 745945344 + 152176896 = 27312^2 + 12336^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×8981222403 (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 898122195 and 898122204.

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, 390534 + ... + 392826.

Almost surely, 2898122240 is an apocalyptic number.

898122240 is a gapful number since it is divisible by the number (80) 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 898122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647426924).

898122240 is an abundant number, since it is smaller than the sum of its proper divisors (2396731608).

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

898122240 is a wasteful number, since it uses less digits than its factorization.

898122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 898122240 is about 29968.6876589550. The cubic root of 898122240 is about 964.8174513976.

The spelling of 898122240 in words is "eight hundred ninety-eight million, one hundred twenty-two thousand, two hundred forty".