Search a number
-
+
21332304600 = 2335238819161
BaseRepresentation
bin10011110111100000…
…010010001011011000
32001001200111100120120
4103313200102023120
5322142032221400
613444441153240
71353430411605
oct236740221330
961050440516
1021332304600
119057591202
12417418b820
13201c713859
1410652156ac
1584cbdcca0
hex4f78122d8

21332304600 has 96 divisors (see below), whose sum is σ = 66154404240. Its totient is φ = 5686528000.

The previous prime is 21332304583. The next prime is 21332304607. The reversal of 21332304600 is 640323312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332304607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2324020 + ... + 2333180.

Almost surely, 221332304600 is an apocalyptic number.

21332304600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21332304600 is an abundant number, since it is smaller than the sum of its proper divisors (44822099640).

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

21332304600 is a wasteful number, since it uses less digits than its factorization.

21332304600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13061 (or 13052 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 21332304600 its reverse (640323312), we get a palindrome (21972627912).

The spelling of 21332304600 in words is "twenty-one billion, three hundred thirty-two million, three hundred four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3881 7762 9161 11643 15524 18322 19405 23286 27483 31048 36644 38810 45805 46572 54966 58215 73288 77620 91610 93144 97025 109932 116430 137415 155240 183220 194050 219864 229025 232860 274830 291075 366440 388100 458050 465720 549660 582150 687075 776200 916100 1099320 1164300 1374150 1832200 2328600 2748300 5496600 35553841 71107682 106661523 142215364 177769205 213323046 284430728 355538410 426646092 533307615 711076820 853292184 888846025 1066615230 1422153640 1777692050 2133230460 2666538075 3555384100 4266460920 5333076150 7110768200 10666152300 21332304600