Search a number
-
+
21551200 = 2552113179
BaseRepresentation
bin101001000110…
…1100001100000
31111112220200121
41102031201200
521004114300
62045530024
7351116326
oct122154140
944486617
1021551200
111118a810
127273914
1346074b8
142c0dd16
151d5a81a
hex148d860

21551200 has 144 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 7488000.

The previous prime is 21551177. The next prime is 21551221. The reversal of 21551200 is 215512.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272761 + ... + 272839.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 221551200 is an apocalyptic number.

21551200 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 21551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

21551200 is an abundant number, since it is smaller than the sum of its proper divisors (38444960).

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

21551200 is a wasteful number, since it uses less digits than its factorization.

21551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 21551200 is about 4642.3270027003. The cubic root of 21551200 is about 278.2854408216.

21551200 divided by its product of nonzero digits (100) gives a palindrome (215512).

Adding to 21551200 its reverse (215512), we get a palindrome (21766712).

Multiplying 21551200 by its reverse (215512), we get a square (4644542214400 = 21551202).

21551200 divided by its reverse (215512) gives a square (100 = 102).

It can be divided in two parts, 215 and 51200, that added together give a palindrome (51415).

The spelling of 21551200 in words is "twenty-one million, five hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 62 79 80 88 100 110 124 155 158 160 176 200 220 248 275 310 316 341 352 395 400 440 496 550 620 632 682 775 790 800 869 880 992 1100 1240 1264 1364 1550 1580 1705 1738 1760 1975 2200 2449 2480 2528 2728 3100 3160 3410 3476 3950 4345 4400 4898 4960 5456 6200 6320 6820 6952 7900 8525 8690 8800 9796 10912 12245 12400 12640 13640 13904 15800 17050 17380 19592 21725 24490 24800 26939 27280 27808 31600 34100 34760 39184 43450 48980 53878 54560 61225 63200 68200 69520 78368 86900 97960 107756 122450 134695 136400 139040 173800 195920 215512 244900 269390 272800 347600 391840 431024 489800 538780 673475 695200 862048 979600 1077560 1346950 1959200 2155120 2693900 4310240 5387800 10775600 21551200