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2422132400 = 2452411131307
BaseRepresentation
bin1001000001011110…
…1100111010110000
320020210200002000102
42100113230322300
514430031214100
61040202411532
7114010533332
oct22027547260
96223602012
102422132400
111033259a16
12577200ba8
132c7a6784c
1418d981452
15e2998cd5
hex905eceb0

2422132400 has 120 divisors (see below), whose sum is σ = 6018458544. Its totient is φ = 936140800.

The previous prime is 2422132399. The next prime is 2422132421. The reversal of 2422132400 is 42312242.

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

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, 1852547 + ... + 1853853.

Almost surely, 22422132400 is an apocalyptic number.

2422132400 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 2422132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009229272).

2422132400 is an abundant number, since it is smaller than the sum of its proper divisors (3596326144).

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

2422132400 is a wasteful number, since it uses less digits than its factorization.

2422132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1468 counting only the distinct ones).

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

The square root of 2422132400 is about 49215.1643297063. The cubic root of 2422132400 is about 1342.9689128551.

Adding to 2422132400 its reverse (42312242), we get a palindrome (2464444642).

The spelling of 2422132400 in words is "two billion, four hundred twenty-two million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 113 164 200 205 226 328 400 410 452 565 656 820 904 1025 1130 1307 1640 1808 2050 2260 2614 2825 3280 4100 4520 4633 5228 5650 6535 8200 9040 9266 10456 11300 13070 16400 18532 20912 22600 23165 26140 32675 37064 45200 46330 52280 53587 65350 74128 92660 104560 107174 115825 130700 147691 185320 214348 231650 261400 267935 295382 370640 428696 463300 522800 535870 590764 738455 857392 926600 1071740 1181528 1339675 1476910 1853200 2143480 2363056 2679350 2953820 3692275 4286960 5358700 5907640 6055331 7384550 10717400 11815280 12110662 14769100 21434800 24221324 29538200 30276655 48442648 59076400 60553310 96885296 121106620 151383275 242213240 302766550 484426480 605533100 1211066200 2422132400