Search a number
-
+
22826448 = 243619103
BaseRepresentation
bin101011100010…
…0110111010000
31120221201000000
41113010313100
521320421243
62133130000
7365010261
oct127046720
946851000
1022826448
1111980937
127789900
134962a98
143062968
15200d5d3
hex15c4dd0

22826448 has 140 divisors (see below), whose sum is σ = 70476640. Its totient is φ = 7138368.

The previous prime is 22826407. The next prime is 22826449. The reversal of 22826448 is 84462822.

It is a happy number.

22826448 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 644 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22826449) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 221565 + ... + 221667.

Almost surely, 222826448 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 22826448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35238320).

22826448 is an abundant number, since it is smaller than the sum of its proper divisors (47650192).

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

22826448 is a wasteful number, since it uses less digits than its factorization.

22826448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 22826448 is about 4777.7032138884. The cubic root of 22826448 is about 283.6695886308.

The spelling of 22826448 in words is "twenty-two million, eight hundred twenty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 103 108 114 144 152 162 171 206 216 228 243 304 309 324 342 412 432 456 486 513 618 648 684 729 824 912 927 972 1026 1236 1296 1368 1458 1539 1648 1854 1944 1957 2052 2472 2736 2781 2916 3078 3708 3888 3914 4104 4617 4944 5562 5832 5871 6156 7416 7828 8208 8343 9234 11124 11664 11742 12312 13851 14832 15656 16686 17613 18468 22248 23484 24624 25029 27702 31312 33372 35226 36936 44496 46968 50058 52839 55404 66744 70452 73872 75087 93936 100116 105678 110808 133488 140904 150174 158517 200232 211356 221616 281808 300348 317034 400464 422712 475551 600696 634068 845424 951102 1201392 1268136 1426653 1902204 2536272 2853306 3804408 5706612 7608816 11413224 22826448