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21938061000 = 2335317940853
BaseRepresentation
bin10100011011100111…
…000011111011001000
32002121220022222010210
4110123213003323020
5324412120423000
614024520441120
71404434304342
oct243347037310
962556288123
1021938061000
119338510a29
1243030191a0
1320b80765ab
1410c185a292
15885e96350
hex51b9c3ec8

21938061000 has 128 divisors (see below), whose sum is σ = 68830819200. Its totient is φ = 5817324800.

The previous prime is 21938060981. The next prime is 21938061001. The reversal of 21938061000 is 16083912.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21938061001) 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, 516574 + ... + 557426.

It is an arithmetic number, because the mean of its divisors is an integer number (537740775).

Almost surely, 221938061000 is an apocalyptic number.

21938061000 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 21938061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34415409600).

21938061000 is an abundant number, since it is smaller than the sum of its proper divisors (46892758200).

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

21938061000 is a wasteful number, since it uses less digits than its factorization.

21938061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41056 (or 41042 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 21938061000 in words is "twenty-one billion, nine hundred thirty-eight million, sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 179 200 250 300 358 375 500 537 600 716 750 895 1000 1074 1432 1500 1790 2148 2685 3000 3580 4296 4475 5370 7160 8950 10740 13425 17900 21480 22375 26850 35800 40853 44750 53700 67125 81706 89500 107400 122559 134250 163412 179000 204265 245118 268500 326824 408530 490236 537000 612795 817060 980472 1021325 1225590 1634120 2042650 2451180 3063975 4085300 4902360 5106625 6127950 7312687 8170600 10213250 12255900 14625374 15319875 20426500 21938061 24511800 29250748 30639750 36563435 40853000 43876122 58501496 61279500 73126870 87752244 109690305 122559000 146253740 175504488 182817175 219380610 292507480 365634350 438761220 548451525 731268700 877522440 914085875 1096903050 1462537400 1828171750 2193806100 2742257625 3656343500 4387612200 5484515250 7312687000 10969030500 21938061000