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2421332500 = 225431157199
BaseRepresentation
bin1001000001010010…
…1001101000010100
320020202011102202111
42100110221220110
514424330120000
61040133320404
7114000662266
oct22024515024
96222142674
102421332500
111032862a44
12576a96104
132c7847732
1418d813b36
15e288bcba
hex90529a14

2421332500 has 120 divisors (see below), whose sum is σ = 5528230400. Its totient is φ = 926640000.

The previous prime is 2421332479. The next prime is 2421332539. The reversal of 2421332500 is 52331242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12167401 + ... + 12167599.

Almost surely, 22421332500 is an apocalyptic number.

2421332500 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 2421332500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764115200).

2421332500 is an abundant number, since it is smaller than the sum of its proper divisors (3106897900).

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

2421332500 is a wasteful number, since it uses less digits than its factorization.

2421332500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2421332500 is about 49207.0370983663. The cubic root of 2421332500 is about 1342.8210597884.

Adding to 2421332500 its reverse (52331242), we get a palindrome (2473663742).

The spelling of 2421332500 in words is "two billion, four hundred twenty-one million, three hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 125 155 157 199 250 310 314 398 500 620 625 628 775 785 796 995 1250 1550 1570 1990 2500 3100 3140 3875 3925 3980 4867 4975 6169 7750 7850 9734 9950 12338 15500 15700 19375 19468 19625 19900 24335 24676 24875 30845 31243 38750 39250 48670 49750 61690 62486 77500 78500 97340 98125 99500 121675 123380 124375 124972 154225 156215 196250 243350 248750 308450 312430 392500 486700 497500 608375 616900 624860 771125 781075 968533 1216750 1542250 1562150 1937066 2433500 3041875 3084500 3124300 3855625 3874132 3905375 4842665 6083750 7711250 7810750 9685330 12167500 15422500 15621500 19370660 19526875 24213325 39053750 48426650 78107500 96853300 121066625 242133250 484266500 605333125 1210666250 2421332500