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21938700 = 22352731337
BaseRepresentation
bin101001110110…
…0001000001100
31112021121020110
41103230020030
521104014300
62102120020
7354322140
oct123541014
945247213
1021938700
1111424963
127420010
1347119a4
142cb1220
151dd5550
hex14ec20c

21938700 has 144 divisors (see below), whose sum is σ = 75106304. Its totient is φ = 4838400.

The previous prime is 21938699. The next prime is 21938713. The reversal of 21938700 is 783912.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64932 + ... + 65268.

Almost surely, 221938700 is an apocalyptic number.

21938700 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 21938700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37553152).

21938700 is an abundant number, since it is smaller than the sum of its proper divisors (53167604).

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

21938700 is a wasteful number, since it uses less digits than its factorization.

21938700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 21938700 is about 4683.8765995701. The cubic root of 21938700 is about 279.9434409570.

The spelling of 21938700 in words is "twenty-one million, nine hundred thirty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 337 350 372 420 434 465 525 620 651 674 700 775 868 930 1011 1050 1085 1302 1348 1550 1685 1860 2022 2100 2170 2325 2359 2604 3100 3255 3370 4044 4340 4650 4718 5055 5425 6510 6740 7077 8425 9300 9436 10110 10447 10850 11795 13020 14154 16275 16850 20220 20894 21700 23590 25275 28308 31341 32550 33700 35385 41788 47180 50550 52235 58975 62682 65100 70770 73129 101100 104470 117950 125364 141540 146258 156705 176925 208940 219387 235900 261175 292516 313410 353850 365645 438774 522350 626820 707700 731290 783525 877548 1044700 1096935 1462580 1567050 1828225 2193870 3134100 3656450 4387740 5484675 7312900 10969350 21938700