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454023000 = 23325361827
BaseRepresentation
bin11011000011111…
…101011101011000
31011122022202110200
4123003331131120
51412212214000
6113015142200
714152063134
oct3303753530
91148282420
10454023000
11213314222
12108074960
13730a7b82
14444283c4
1529cd5500
hex1b0fd758

454023000 has 192 divisors, whose sum is σ = 1561641120. Its totient is φ = 118944000.

The previous prime is 454022999. The next prime is 454023001. The reversal of 454023000 is 320454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (454022999) and next prime (454023001).

It is a super-2 number, since 2×4540230002 = 412273769058000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454023001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548587 + ... + 549413.

Almost surely, 2454023000 is an apocalyptic number.

454023000 is a gapful number since it is divisible by the number (40) 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 454023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780820560).

454023000 is an abundant number, since it is smaller than the sum of its proper divisors (1107618120).

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

454023000 is a wasteful number, since it uses less digits than its factorization.

454023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 454023000 is about 21307.8154675696. The cubic root of 454023000 is about 768.5862629665.

Adding to 454023000 its reverse (320454), we get a palindrome (454343454).

The spelling of 454023000 in words is "four hundred fifty-four million, twenty-three thousand".