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19122192 = 243237297
BaseRepresentation
bin100100011110…
…0100000010000
31022222111201100
41020330200100
514343402232
61521504400
7321351555
oct110744020
938874640
1019122192
11a880871
1264a2100
133c66a0b
14277aa2c
151a2ac7c
hex123c810

19122192 has 90 divisors (see below), whose sum is σ = 55568058. Its totient is φ = 6137856.

The previous prime is 19122167. The next prime is 19122193. The reversal of 19122192 is 29122191.

It can be written as a sum of positive squares in 3 ways, for example, as 10265616 + 8856576 = 3204^2 + 2976^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19122193) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 197088 + ... + 197184.

Almost surely, 219122192 is an apocalyptic number.

19122192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19122192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27784029).

19122192 is an abundant number, since it is smaller than the sum of its proper divisors (36445866).

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

19122192 is a wasteful number, since it uses less digits than its factorization.

19122192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 139 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 19122192 is about 4372.8928639975. The cubic root of 19122192 is about 267.4109733732.

Subtracting 19122192 from its reverse (29122191), we obtain a palindrome (9999999).

The spelling of 19122192 in words is "nineteen million, one hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 97 111 144 148 194 222 291 296 333 388 444 582 592 666 776 873 888 1164 1332 1369 1552 1746 1776 2328 2664 2738 3492 3589 4107 4656 5328 5476 6984 7178 8214 10767 10952 12321 13968 14356 16428 21534 21904 24642 28712 32301 32856 43068 49284 57424 64602 65712 86136 98568 129204 132793 172272 197136 258408 265586 398379 516816 531172 796758 1062344 1195137 1593516 2124688 2390274 3187032 4780548 6374064 9561096 19122192