Search a number
-
+
21221232000 = 27353442109
BaseRepresentation
bin10011110000111000…
…100100110110000000
32000202221111021121120
4103300320210312000
5321430113411000
613425432352240
71350611332023
oct236070446600
960687437546
1021221232000
118aaa917771
124142b45680
1320026c4217
1410545811ba
1584309c6a0
hex4f0e24d80

21221232000 has 128 divisors (see below), whose sum is σ = 70348543200. Its totient is φ = 5658982400.

The previous prime is 21221231963. The next prime is 21221232023. The reversal of 21221232000 is 23212212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173055 + ... + 269054.

Almost surely, 221221232000 is an apocalyptic number.

21221232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221232000 is an abundant number, since it is smaller than the sum of its proper divisors (49127311200).

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

21221232000 is an equidigital number, since it uses as much as digits as its factorization.

21221232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442141 (or 442119 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21221232000 its reverse (23212212), we get a palindrome (21244444212).

The spelling of 21221232000 in words is "twenty-one billion, two hundred twenty-one million, two hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 442109 884218 1326327 1768436 2210545 2652654 3536872 4421090 5305308 6631635 7073744 8842180 10610616 11052725 13263270 14147488 17684360 21221232 22105450 26526540 28294976 33158175 35368720 42442464 44210900 53053080 55263625 56589952 66316350 70737440 84884928 88421800 106106160 110527250 132632700 141474880 165790875 169769856 176843600 212212320 221054500 265265400 282949760 331581750 353687200 424424640 442109000 530530800 663163500 707374400 848849280 884218000 1061061600 1326327000 1414748800 1768436000 2122123200 2652654000 3536872000 4244246400 5305308000 7073744000 10610616000 21221232000