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20122452 = 2233743619
BaseRepresentation
bin100110011000…
…0101101010100
31101212022211000
41030300231110
520122404302
61555143300
7333016020
oct114605524
941768730
1020122452
11103a4329
1268a4b30
13422709c
14295b380
151b7731c
hex1330b54

20122452 has 96 divisors (see below), whose sum is σ = 61107200. Its totient is φ = 5606496.

The previous prime is 20122429. The next prime is 20122469. The reversal of 20122452 is 25422102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32199 + ... + 32817.

Almost surely, 220122452 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 20122452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30553600).

20122452 is an abundant number, since it is smaller than the sum of its proper divisors (40984748).

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

20122452 is a wasteful number, since it uses less digits than its factorization.

20122452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20122452 is about 4485.8056132650. The cubic root of 20122452 is about 271.9946113408.

Adding to 20122452 its reverse (25422102), we get a palindrome (45544554).

The spelling of 20122452 in words is "twenty million, one hundred twenty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 619 756 774 903 1161 1204 1238 1548 1806 1857 2322 2476 2709 3612 3714 4333 4644 5418 5571 7428 8127 8666 10836 11142 12999 16254 16713 17332 22284 25998 26617 32508 33426 38997 51996 53234 66852 77994 79851 106468 116991 155988 159702 186319 233982 239553 319404 372638 467964 479106 558957 718659 745276 958212 1117914 1437318 1676871 2235828 2874636 3353742 5030613 6707484 10061226 20122452