Search a number
-
+
19553131 = 132375359
BaseRepresentation
bin100101010010…
…1101101101011
31100210101212001
41022211231223
520001200011
61535031431
7325125133
oct112455553
940711761
1019553131
1110045614
12666b577
134087c00
14284dac3
151ab37c1
hex12a5b6b

19553131 has 24 divisors (see below), whose sum is σ = 22530960. Its totient is φ = 16937856.

The previous prime is 19553129. The next prime is 19553231. The reversal of 19553131 is 13135591.

19553131 is a nontrivial binomial coefficient, being equal to C(6254, 2).

It is not a de Polignac number, because 19553131 - 21 = 19553129 is a prime.

It is a super-2 number, since 2×195531312 = 764649863806322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19553131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19553101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331380 + ... + 331438.

It is an arithmetic number, because the mean of its divisors is an integer number (938790).

Almost surely, 219553131 is an apocalyptic number.

19553131 is the 6253-rd triangular number and also the 3127-th hexagonal number.

19553131 is the 2085-th centered nonagonal number.

19553131 is a deficient number, since it is larger than the sum of its proper divisors (2977829).

19553131 is a wasteful number, since it uses less digits than its factorization.

19553131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its digits is 2025, while the sum is 28.

The square root of 19553131 is about 4421.8922420159. The cubic root of 19553131 is about 269.4048665840.

The spelling of 19553131 in words is "nineteen million, five hundred fifty-three thousand, one hundred thirty-one".

Divisors: 1 13 37 53 59 169 481 689 767 1961 2183 3127 6253 8957 9971 25493 28379 40651 115699 331409 368927 528463 1504087 19553131