Search a number
-
+
21832230780 = 22335107377851
BaseRepresentation
bin10100010101010011…
…010110011101111100
32002100112012020101000
4110111103112131330
5324203022341110
614010220250300
71402010620413
oct242523263574
962315166330
1021832230780
1192937a8138
1242936a0990
13209c171169
1410b178c47a
1587ba3e1c0
hex5154d677c

21832230780 has 96 divisors (see below), whose sum is σ = 68557466880. Its totient is φ = 5767502400.

The previous prime is 21832230737. The next prime is 21832230781. The reversal of 21832230780 is 8703223812.

It is a happy number.

21832230780 is a `hidden beast` number, since 21 + 8 + 322 + 307 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21832230781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131146 + ... + 246705.

It is an arithmetic number, because the mean of its divisors is an integer number (714140280).

Almost surely, 221832230780 is an apocalyptic number.

21832230780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21832230780 is an abundant number, since it is smaller than the sum of its proper divisors (46725236100).

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

21832230780 is a wasteful number, since it uses less digits than its factorization.

21832230780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377976 (or 377968 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21832230780 in words is "twenty-one billion, eight hundred thirty-two million, two hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1284 1605 1926 2140 2889 3210 3852 4815 5778 6420 9630 11556 14445 19260 28890 57780 377851 755702 1133553 1511404 1889255 2267106 3400659 3778510 4534212 5667765 6801318 7557020 10201977 11335530 13602636 17003295 20403954 22671060 34006590 40430057 40807908 51009885 68013180 80860114 102019770 121290171 161720228 202150285 204039540 242580342 363870513 404300570 485160684 606450855 727741026 808601140 1091611539 1212901710 1455482052 1819352565 2183223078 2425803420 3638705130 4366446156 5458057695 7277410260 10916115390 21832230780