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21332233020 = 22357281180751
BaseRepresentation
bin10011110111100000…
…000000101100111100
32001001200100201101110
4103313200000230330
5322142022424040
613444435442020
71353426663120
oct236740005474
961050321343
1021332233020
11905754244a
124174156310
13201c6ba0b7
1410651d7580
1584cbc6980
hex4f7800b3c

21332233020 has 96 divisors (see below), whose sum is σ = 68506454016. Its totient is φ = 4858560000.

The previous prime is 21332233009. The next prime is 21332233051. The reversal of 21332233020 is 2033223312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27645 + ... + 208395.

It is an arithmetic number, because the mean of its divisors is an integer number (713608896).

Almost surely, 221332233020 is an apocalyptic number.

21332233020 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 21332233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34253227008).

21332233020 is an abundant number, since it is smaller than the sum of its proper divisors (47174220996).

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

21332233020 is a wasteful number, since it uses less digits than its factorization.

21332233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181051 (or 181049 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 21332233020 its reverse (2033223312), we get a palindrome (23365456332).

The spelling of 21332233020 in words is "twenty-one billion, three hundred thirty-two million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 281 420 562 843 1124 1405 1686 1967 2810 3372 3934 4215 5620 5901 7868 8430 9835 11802 16860 19670 23604 29505 39340 59010 118020 180751 361502 542253 723004 903755 1084506 1265257 1807510 2169012 2530514 2711265 3615020 3795771 5061028 5422530 6326285 7591542 10845060 12652570 15183084 18978855 25305140 37957710 50791031 75915420 101582062 152373093 203164124 253955155 304746186 355537217 507910310 609492372 711074434 761865465 1015820620 1066611651 1422148868 1523730930 1777686085 2133223302 3047461860 3555372170 4266446604 5333058255 7110744340 10666116510 21332233020