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20122152 = 23317149331
BaseRepresentation
bin100110011000…
…0101000101000
31101212022101220
41030300220220
520122402102
61555142040
7333015111
oct114605050
941768356
1020122152
11103a4086
1268a4920
134226bcb
14295b208
151b771bc
hex1330a28

20122152 has 64 divisors (see below), whose sum is σ = 53784000. Its totient is φ = 6251520.

The previous prime is 20122147. The next prime is 20122153. The reversal of 20122152 is 25122102.

It is a super-2 number, since 2×201221522 = 809802002222208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20122153) 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, 60627 + ... + 60957.

It is an arithmetic number, because the mean of its divisors is an integer number (840375).

Almost surely, 220122152 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 20122152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26892000).

20122152 is an abundant number, since it is smaller than the sum of its proper divisors (33661848).

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

20122152 is a wasteful number, since it uses less digits than its factorization.

20122152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 20122152 is about 4485.7721743307. The cubic root of 20122152 is about 271.9932596369.

Adding to 20122152 its reverse (25122102), we get a palindrome (45244254).

The spelling of 20122152 in words is "twenty million, one hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 149 204 298 331 408 447 596 662 894 993 1192 1324 1788 1986 2533 2648 3576 3972 5066 5627 7599 7944 10132 11254 15198 16881 20264 22508 30396 33762 45016 49319 60792 67524 98638 135048 147957 197276 295914 394552 591828 838423 1183656 1676846 2515269 3353692 5030538 6707384 10061076 20122152