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2421452000 = 25531125003
BaseRepresentation
bin1001000001010100…
…0110110011100000
320020202101111200102
42100111012303200
514424342431000
61040140041532
7114002000552
oct22025066340
96222344612
102421452000
111032934800
12576b332a8
132c7889c46
1418d8454d2
15e28b23d5
hex90546ce0

2421452000 has 144 divisors (see below), whose sum is σ = 6540848496. Its totient is φ = 880352000.

The previous prime is 2421451993. The next prime is 2421452009. The reversal of 2421452000 is 2541242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421452009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481499 + ... + 486501.

It is an arithmetic number, because the mean of its divisors is an integer number (45422559).

Almost surely, 22421452000 is an apocalyptic number.

2421452000 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 2421452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270424248).

2421452000 is an abundant number, since it is smaller than the sum of its proper divisors (4119396496).

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

2421452000 is a wasteful number, since it uses less digits than its factorization.

2421452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2421452000 is about 49208.2513406034. The cubic root of 2421452000 is about 1342.8431501700.

Adding to 2421452000 its reverse (2541242), we get a palindrome (2423993242).

The spelling of 2421452000 in words is "two billion, four hundred twenty-one million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2750 3025 3872 4000 4400 4840 5003 5500 6050 8800 9680 10006 11000 12100 15125 19360 20012 22000 24200 25015 30250 40024 44000 48400 50030 55033 60500 80048 96800 100060 110066 121000 125075 160096 200120 220132 242000 250150 275165 400240 440264 484000 500300 550330 605363 625375 800480 880528 1000600 1100660 1210726 1250750 1375825 1761056 2001200 2201320 2421452 2501500 2751650 3026815 4002400 4402640 4842904 5003000 5503300 6053630 6879125 8805280 9685808 10006000 11006600 12107260 13758250 15134075 19371616 20012000 22013200 24214520 27516500 30268150 44026400 48429040 55033000 60536300 75670375 96858080 110066000 121072600 151340750 220132000 242145200 302681500 484290400 605363000 1210726000 2421452000