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2423212400 = 245273072819
BaseRepresentation
bin1001000001101111…
…0100100101110000
320020212200221111102
42100123310211300
514430320244100
61040241503532
7114022652120
oct22033644560
96225627442
102423212400
111033927384
12577641ba8
132c80552bb
1418db82c80
15e2b0dcd5
hex906f4970

2423212400 has 120 divisors (see below), whose sum is σ = 6677489280. Its totient is φ = 827815680.

The previous prime is 2423212397. The next prime is 2423212427. The reversal of 2423212400 is 42123242.

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

It is a congruent number.

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, 858191 + ... + 861009.

It is an arithmetic number, because the mean of its divisors is an integer number (55645744).

Almost surely, 22423212400 is an apocalyptic number.

2423212400 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 2423212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338744640).

2423212400 is an abundant number, since it is smaller than the sum of its proper divisors (4254276880).

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

2423212400 is a wasteful number, since it uses less digits than its factorization.

2423212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2423212400 is about 49226.1353347995. The cubic root of 2423212400 is about 1343.1684878117.

Adding to 2423212400 its reverse (42123242), we get a palindrome (2465335642).

The spelling of 2423212400 in words is "two billion, four hundred twenty-three million, two hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 307 350 400 560 614 700 1228 1400 1535 2149 2456 2800 2819 3070 4298 4912 5638 6140 7675 8596 10745 11276 12280 14095 15350 17192 19733 21490 22552 24560 28190 30700 34384 39466 42980 45104 53725 56380 61400 70475 78932 85960 98665 107450 112760 122800 140950 157864 171920 197330 214900 225520 281900 315728 394660 429800 493325 563800 789320 859600 865433 986650 1127600 1578640 1730866 1973300 3461732 3946600 4327165 6058031 6923464 7893200 8654330 12116062 13846928 17308660 21635825 24232124 30290155 34617320 43271650 48464248 60580310 69234640 86543300 96928496 121160620 151450775 173086600 242321240 302901550 346173200 484642480 605803100 1211606200 2423212400