Search a number
-
+
22788216 = 23341123139
BaseRepresentation
bin101011011101…
…1100001111000
31120212202120000
41112323201320
521313210331
62132233000
7364460643
oct126734170
946782500
1022788216
1111955140
12776b760
13494b569
143052a5a
1520020e6
hex15bb878

22788216 has 160 divisors (see below), whose sum is σ = 73180800. Its totient is φ = 6557760.

The previous prime is 22788203. The next prime is 22788217. The reversal of 22788216 is 61288722.

It is a happy number.

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 (22788217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163875 + ... + 164013.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 222788216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22788216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36590400).

22788216 is an abundant number, since it is smaller than the sum of its proper divisors (50392584).

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

22788216 is a wasteful number, since it uses less digits than its factorization.

22788216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 22788216 is about 4773.7004514318. The cubic root of 22788216 is about 283.5111274712.

The spelling of 22788216 in words is "twenty-two million, seven hundred eighty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 81 88 92 99 108 132 138 139 162 184 198 207 216 253 264 276 278 297 324 396 414 417 506 552 556 594 621 648 759 792 828 834 891 1012 1112 1188 1242 1251 1518 1529 1656 1668 1782 1863 2024 2277 2376 2484 2502 3036 3058 3197 3336 3564 3726 3753 4554 4587 4968 5004 6072 6116 6394 6831 7128 7452 7506 9108 9174 9591 10008 11259 12232 12788 13662 13761 14904 15012 18216 18348 19182 20493 22518 25576 27324 27522 28773 30024 35167 36696 38364 40986 41283 45036 54648 55044 57546 70334 76728 81972 82566 86319 90072 105501 110088 115092 123849 140668 163944 165132 172638 211002 230184 247698 258957 281336 316503 330264 345276 422004 495396 517914 633006 690552 844008 949509 990792 1035828 1266012 1899018 2071656 2532024 2848527 3798036 5697054 7596072 11394108 22788216