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20122824 = 2331944129
BaseRepresentation
bin100110011000…
…0110011001000
31101212100022210
41030300303020
520122412244
61555145120
7333020061
oct114606310
941770283
1020122824
11103a4637
1268a51a0
1342272c7
14295b568
151b774b9
hex1330cc8

20122824 has 32 divisors (see below), whose sum is σ = 52956000. Its totient is φ = 6354432.

The previous prime is 20122819. The next prime is 20122829. The reversal of 20122824 is 42822102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20122819) and next prime (20122829).

It is a self number, because there is not a number n which added to its sum of digits gives 20122824.

It is not an unprimeable number, because it can be changed into a prime (20122829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21609 + ... + 22520.

It is an arithmetic number, because the mean of its divisors is an integer number (1654875).

Almost surely, 220122824 is an apocalyptic number.

20122824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20122824 is an abundant number, since it is smaller than the sum of its proper divisors (32833176).

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

20122824 is a wasteful number, since it uses less digits than its factorization.

20122824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44157 (or 44153 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 20122824 is about 4485.8470771973. The cubic root of 20122824 is about 271.9962874349.

Adding to 20122824 its reverse (42822102), we get a palindrome (62944926).

The spelling of 20122824 in words is "twenty million, one hundred twenty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 44129 88258 132387 176516 264774 353032 529548 838451 1059096 1676902 2515353 3353804 5030706 6707608 10061412 20122824