Search a number
-
+
23622240 = 2535291697
BaseRepresentation
bin101101000011…
…1001001100000
31122110010121210
41122013021200
522021402430
62202150120
7404533335
oct132071140
948403553
1023622240
1112374814
127ab2340
134b81075
1431cc98c
1521192b0
hex1687260

23622240 has 96 divisors (see below), whose sum is σ = 77021280. Its totient is φ = 6078464.

The previous prime is 23622233. The next prime is 23622241. The reversal of 23622240 is 4222632.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23622241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13072 + ... + 14768.

It is an arithmetic number, because the mean of its divisors is an integer number (802305).

Almost surely, 223622240 is an apocalyptic number.

23622240 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 23622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38510640).

23622240 is an abundant number, since it is smaller than the sum of its proper divisors (53399040).

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

23622240 is a wasteful number, since it uses less digits than its factorization.

23622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 23622240 is about 4860.2715973493. The cubic root of 23622240 is about 286.9285030335.

Adding to 23622240 its reverse (4222632), we get a palindrome (27844872).

The spelling of 23622240 in words is "twenty-three million, six hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1697 1740 2320 2784 3394 3480 4640 5091 6788 6960 8485 10182 13576 13920 16970 20364 25455 27152 33940 40728 49213 50910 54304 67880 81456 98426 101820 135760 147639 162912 196852 203640 246065 271520 295278 393704 407280 492130 590556 738195 787408 814560 984260 1181112 1476390 1574816 1968520 2362224 2952780 3937040 4724448 5905560 7874080 11811120 23622240