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2420023000 = 23537333151
BaseRepresentation
bin1001000000111110…
…1001111011011000
320020122200220110111
42100033221323120
514424011214000
61040045254104
7113653566433
oct22017517330
96218626414
102420023000
11103204910a
12576564334
132c74a9695
1418d59281a
15e26cdcba
hex903e9ed8

2420023000 has 64 divisors (see below), whose sum is σ = 5740600320. Its totient is φ = 954720000.

The previous prime is 2420022971. The next prime is 2420023013. The reversal of 2420023000 is 3200242.

2420023000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24200230002 = 11713022641058000000, which contains 22 as substring.

It is a congruent number.

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, 56425 + ... + 89575.

It is an arithmetic number, because the mean of its divisors is an integer number (89696880).

Almost surely, 22420023000 is an apocalyptic number.

2420023000 is a gapful number since it is divisible by the number (20) 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 2420023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870300160).

2420023000 is an abundant number, since it is smaller than the sum of its proper divisors (3320577320).

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

2420023000 is a wasteful number, since it uses less digits than its factorization.

2420023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33245 (or 33231 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2420023000 is about 49193.7292751830. The cubic root of 2420023000 is about 1342.5789422396.

Adding to 2420023000 its reverse (3200242), we get a palindrome (2423223242).

The spelling of 2420023000 in words is "two billion, four hundred twenty million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 730 1000 1460 1825 2920 3650 7300 9125 14600 18250 33151 36500 66302 73000 132604 165755 265208 331510 663020 828775 1326040 1657550 2420023 3315100 4143875 4840046 6630200 8287750 9680092 12100115 16575500 19360184 24200230 33151000 48400460 60500575 96800920 121001150 242002300 302502875 484004600 605005750 1210011500 2420023000