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24220940 = 2253771461
BaseRepresentation
bin101110001100…
…1010100001100
31200120112212212
41130121110030
522200032230
62223045552
7412605662
oct134312414
950515785
1024220940
1112743607
1281408b8
135030723
143306c32
1521d6895
hex171950c

24220940 has 48 divisors (see below), whose sum is σ = 53089344. Its totient is φ = 9273600.

The previous prime is 24220927. The next prime is 24220943. The reversal of 24220940 is 4902242.

It is not an unprimeable number, because it can be changed into a prime (24220943) 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, 52310 + ... + 52770.

It is an arithmetic number, because the mean of its divisors is an integer number (1106028).

Almost surely, 224220940 is an apocalyptic number.

24220940 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 24220940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26544672).

24220940 is an abundant number, since it is smaller than the sum of its proper divisors (28868404).

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

24220940 is a wasteful number, since it uses less digits than its factorization.

24220940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 24220940 is about 4921.4774204501. The cubic root of 24220940 is about 289.3323523271.

The spelling of 24220940 in words is "twenty-four million, two hundred twenty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 37 71 74 142 148 185 284 355 370 461 710 740 922 1420 1844 2305 2627 4610 5254 9220 10508 13135 17057 26270 32731 34114 52540 65462 68228 85285 130924 163655 170570 327310 341140 654620 1211047 2422094 4844188 6055235 12110470 24220940