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20133169 = 726412
BaseRepresentation
bin100110011001…
…1010100110001
31101212212111221
41030303110301
520123230134
61555305041
7333062200
oct114632461
941785457
1020133169
1110401391
1268ab181
13422bc24
142961237
151b7a5b4
hex1333531

20133169 has 9 divisors (see below), whose sum is σ = 23456811. Its totient is φ = 17230080.

The previous prime is 20133149. The next prime is 20133193. The reversal of 20133169 is 96133102.

The square root of 20133169 is 4487.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18173169 + 1960000 = 4263^2 + 1400^2 .

It is not a de Polignac number, because 20133169 - 25 = 20133137 is a prime.

It is a super-2 number, since 2×201331692 = 810688987965122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20133149) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31089 + ... + 31729.

Almost surely, 220133169 is an apocalyptic number.

20133169 is the 4487-th square number.

20133169 is the 2244-th centered octagonal number.

It is an amenable number.

20133169 is a deficient number, since it is larger than the sum of its proper divisors (3323642).

20133169 is an frugal number, since it uses more digits than its factorization.

20133169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The cubic root of 20133169 is about 272.0428898990.

Multiplying 20133169 by its sum of digits (25), we get a square (503329225 = 224352).

It can be divided in two parts, 20133 and 169, that added together give a palindrome (20302).

The spelling of 20133169 in words is "twenty million, one hundred thirty-three thousand, one hundred sixty-nine".

Divisors: 1 7 49 641 4487 31409 410881 2876167 20133169