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20232550400 = 211521512617
BaseRepresentation
bin10010110101111101…
…000011100000000000
31221020001010001102112
4102311331003200000
5312414013103100
613143353434452
71314244561256
oct226575034000
957201101375
1020232550400
118642824637
123b07a0ba28
131ba591aa1a
14d9d13c5d6
157d63a4b35
hex4b5f43800

20232550400 has 144 divisors (see below), whose sum is σ = 50515985520. Its totient is φ = 8036352000.

The previous prime is 20232550367. The next prime is 20232550409. The reversal of 20232550400 is 405523202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232550409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7729892 + ... + 7732508.

It is an arithmetic number, because the mean of its divisors is an integer number (350805455).

Almost surely, 220232550400 is an apocalyptic number.

20232550400 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 20232550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25257992760).

20232550400 is an abundant number, since it is smaller than the sum of its proper divisors (30283435120).

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

20232550400 is a wasteful number, since it uses less digits than its factorization.

20232550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The spelling of 20232550400 in words is "twenty billion, two hundred thirty-two million, five hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 151 160 200 256 302 320 400 512 604 640 755 800 1024 1208 1280 1510 1600 2048 2416 2560 2617 3020 3200 3775 4832 5120 5234 6040 6400 7550 9664 10240 10468 12080 12800 13085 15100 19328 20936 24160 25600 26170 30200 38656 41872 48320 51200 52340 60400 65425 77312 83744 96640 104680 120800 130850 154624 167488 193280 209360 241600 261700 309248 334976 386560 395167 418720 483200 523400 669952 773120 790334 837440 966400 1046800 1339904 1546240 1580668 1674880 1932800 1975835 2093600 2679808 3161336 3349760 3865600 3951670 4187200 5359616 6322672 6699520 7731200 7903340 8374400 9879175 12645344 13399040 15806680 16748800 19758350 25290688 26798080 31613360 33497600 39516700 50581376 63226720 66995200 79033400 101162752 126453440 133990400 158066800 202325504 252906880 316133600 404651008 505813760 632267200 809302016 1011627520 1264534400 2023255040 2529068800 4046510080 5058137600 10116275200 20232550400