Search a number
-
+
22701448 = 23711137269
BaseRepresentation
bin101011010011…
…0010110001000
31120201100112101
41112212112020
521302421243
62130323144
7363646660
oct126462610
946640471
1022701448
11118a5a30
1277294b4
13491ac13
14302d1a0
151ed654d
hex15a6588

22701448 has 64 divisors (see below), whose sum is σ = 53654400. Its totient is φ = 8747520.

The previous prime is 22701439. The next prime is 22701449. The reversal of 22701448 is 84410722.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (22701449) 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 15 ways as a sum of consecutive naturals, for example, 84258 + ... + 84526.

It is an arithmetic number, because the mean of its divisors is an integer number (838350).

Almost surely, 222701448 is an apocalyptic number.

22701448 is a gapful number since it is divisible by the number (28) 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 22701448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26827200).

22701448 is an abundant number, since it is smaller than the sum of its proper divisors (30952952).

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

22701448 is a wasteful number, since it uses less digits than its factorization.

22701448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 22701448 is about 4764.6036561292. The cubic root of 22701448 is about 283.1508391903.

The spelling of 22701448 in words is "twenty-two million, seven hundred one thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 137 154 269 274 308 538 548 616 959 1076 1096 1507 1883 1918 2152 2959 3014 3766 3836 5918 6028 7532 7672 10549 11836 12056 15064 20713 21098 23672 36853 41426 42196 73706 82852 84392 147412 165704 257971 294824 405383 515942 810766 1031884 1621532 2063768 2837681 3243064 5675362 11350724 22701448