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21800731000 = 2353211277373
BaseRepresentation
bin10100010011011011…
…001100000101111000
32002021022220212210111
4110103123030011320
5324121441343000
614003133154104
71401146104336
oct242333140570
962238825714
1021800731000
119277a42964
12428502b934
132095792639
1410ab50cb56
15878dbacba
hex5136cc178

21800731000 has 128 divisors (see below), whose sum is σ = 51578429760. Its totient is φ = 8624448000.

The previous prime is 21800730983. The next prime is 21800731003. The reversal of 21800731000 is 13700812.

It is a super-2 number, since 2×218007310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21800731003) 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, 58446814 + ... + 58447186.

Almost surely, 221800731000 is an apocalyptic number.

21800731000 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 21800731000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25789214880).

21800731000 is an abundant number, since it is smaller than the sum of its proper divisors (29777698760).

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

21800731000 is a wasteful number, since it uses less digits than its factorization.

21800731000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 21800731000 in words is "twenty-one billion, eight hundred million, seven hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 211 250 277 373 422 500 554 746 844 1000 1055 1108 1385 1492 1688 1865 2110 2216 2770 2984 3730 4220 5275 5540 6925 7460 8440 9325 10550 11080 13850 14920 18650 21100 26375 27700 34625 37300 42200 46625 52750 55400 58447 69250 74600 78703 93250 103321 105500 116894 138500 157406 186500 206642 211000 233788 277000 292235 314812 373000 393515 413284 467576 516605 584470 629624 787030 826568 1033210 1168940 1461175 1574060 1967575 2066420 2337880 2583025 2922350 3148120 3935150 4132840 5166050 5844700 7305875 7870300 9837875 10332100 11689400 12915125 14611750 15740600 19675750 20664200 21800731 25830250 29223500 39351500 43601462 51660500 58447000 78703000 87202924 103321000 109003655 174405848 218007310 436014620 545018275 872029240 1090036550 2180073100 2725091375 4360146200 5450182750 10900365500 21800731000