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21656041000 = 2353112385597
BaseRepresentation
bin10100001010110011…
…001111011000101000
32001220020122212102121
4110022303033120220
5323322421303000
613540524041024
71364441211526
oct241263173050
961806585377
1021656041000
1192032a8150
124244693174
132071802659
141096207316
1586b339b1a
hex50accf628

21656041000 has 128 divisors (see below), whose sum is σ = 57686204160. Its totient is φ = 7532448000.

The previous prime is 21656040997. The next prime is 21656041003. The reversal of 21656041000 is 14065612.

It is an interprime number because it is at equal distance from previous prime (21656040997) and next prime (21656041003).

It is a super-2 number, since 2×216560410002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21656041003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210202 + ... + 295798.

It is an arithmetic number, because the mean of its divisors is an integer number (450673470).

Almost surely, 221656041000 is an apocalyptic number.

21656041000 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 21656041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28843102080).

21656041000 is an abundant number, since it is smaller than the sum of its proper divisors (36030163160).

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

21656041000 is a wasteful number, since it uses less digits than its factorization.

21656041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85652 (or 85638 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 21656041000 in words is "twenty-one billion, six hundred fifty-six million, forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 440 460 500 506 550 575 920 1000 1012 1100 1150 1265 1375 2024 2200 2300 2530 2750 2875 4600 5060 5500 5750 6325 10120 11000 11500 12650 23000 25300 31625 50600 63250 85597 126500 171194 253000 342388 427985 684776 855970 941567 1711940 1883134 1968731 2139925 3423880 3766268 3937462 4279850 4707835 7532536 7874924 8559700 9415670 9843655 10699625 15749848 17119400 18831340 19687310 21399250 21656041 23539175 37662680 39374620 42798500 43312082 47078350 49218275 78749240 85597000 86624164 94156700 98436550 108280205 117695875 173248328 188313400 196873100 216560410 235391750 246091375 393746200 433120820 470783500 492182750 541401025 866241640 941567000 984365500 1082802050 1968731000 2165604100 2707005125 4331208200 5414010250 10828020500 21656041000