Search a number
-
+
102422144 = 2711217389
BaseRepresentation
bin1100001101011…
…01011010000000
321010201120202202
412012231122000
5202210002034
614055132332
72352400556
oct606553200
9233646682
10102422144
11528a6300
122a3740a8
13182b1126
14d861bd6
158ed247e
hex61ad680

102422144 has 96 divisors (see below), whose sum is σ = 238083300. Its totient is φ = 43704320.

The previous prime is 102422137. The next prime is 102422149. The reversal of 102422144 is 441224201.

It can be written as a sum of positive squares in 2 ways, for example, as 102414400 + 7744 = 10120^2 + 88^2 .

It is not an unprimeable number, because it can be changed into a prime (102422149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263102 + ... + 263490.

Almost surely, 2102422144 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 102422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119041650).

102422144 is an abundant number, since it is smaller than the sum of its proper divisors (135661156).

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

102422144 is a wasteful number, since it uses less digits than its factorization.

102422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 102422144 is about 10120.3826014632. The cubic root of 102422144 is about 467.8765593547.

Adding to 102422144 its reverse (441224201), we get a palindrome (543646345).

The spelling of 102422144 in words is "one hundred two million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 121 128 136 176 187 242 272 352 374 389 484 544 704 748 778 968 1088 1408 1496 1556 1936 2057 2176 2992 3112 3872 4114 4279 5984 6224 6613 7744 8228 8558 11968 12448 13226 15488 16456 17116 23936 24896 26452 32912 34232 47069 49792 52904 65824 68464 72743 94138 105808 131648 136928 145486 188276 211616 263296 273856 290972 376552 423232 547712 581944 753104 800173 846464 1163888 1506208 1600346 2327776 3012416 3200692 4655552 6024832 6401384 9311104 12802768 25605536 51211072 102422144