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20232241010400 = 2535243196048847
BaseRepresentation
bin1001001100110101011111…
…00010011101011011100000
32122122011221122220012212110
410212122233202131123200
510122441112144313100
6111010321352555320
74155505536030516
oct446325742353340
978564848805773
1020232241010400
1164a0499662581
1223291886b2b40
13b39b7a058053
144dd36225c4b6
15251448a52250
hex1266af89d6e0

20232241010400 has 144 divisors (see below), whose sum is σ = 67387478425344. Its totient is φ = 5269792980480.

The previous prime is 20232241010369. The next prime is 20232241010411. The reversal of 20232241010400 is 401014223202.

It is a super-2 number, since 2×202322410104002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97921224 + ... + 98127623.

It is an arithmetic number, because the mean of its divisors is an integer number (467968600176).

Almost surely, 220232241010400 is an apocalyptic number.

20232241010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20232241010400 is an abundant number, since it is smaller than the sum of its proper divisors (47155237414944).

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

20232241010400 is a wasteful number, since it uses less digits than its factorization.

20232241010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196048913 (or 196048900 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20232241010400 its reverse (401014223202), we get a palindrome (20633255233602).

The spelling of 20232241010400 in words is "twenty trillion, two hundred thirty-two billion, two hundred forty-one million, ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 43 48 50 60 75 80 86 96 100 120 129 150 160 172 200 215 240 258 300 344 400 430 480 516 600 645 688 800 860 1032 1075 1200 1290 1376 1720 2064 2150 2400 2580 3225 3440 4128 4300 5160 6450 6880 8600 10320 12900 17200 20640 25800 34400 51600 103200 196048847 392097694 588146541 784195388 980244235 1176293082 1568390776 1960488470 2352586164 2940732705 3136781552 3920976940 4705172328 4901221175 5881465410 6273563104 7841953880 8430100421 9410344656 9802442350 11762930820 14703663525 15683907760 16860200842 18820689312 19604884700 23525861640 25290301263 29407327050 31367815520 33720401684 39209769400 42150502105 47051723280 50580602526 58814654100 67440803368 78419538800 84301004210 94103446560 101161205052 117629308200 126451506315 134881606736 156839077600 168602008420 202322410104 210752510525 235258616400 252903012630 269763213472 337204016840 404644820208 421505021050 470517232800 505806025260 632257531575 674408033680 809289640416 843010042100 1011612050520 1264515063150 1348816067360 1686020084200 2023224101040 2529030126300 3372040168400 4046448202080 5058060252600 6744080336800 10116120505200 20232241010400