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19220096 = 277191129
BaseRepresentation
bin100100101010…
…0011010000000
31100011111000102
41021110122000
514410020341
61523541532
7322240160
oct111243200
940144012
1019220096
11a938385
12652a8a8
133c9c44c
1427a45a0
151a49c9b
hex1254680

19220096 has 64 divisors (see below), whose sum is σ = 46104000. Its totient is φ = 7796736.

The previous prime is 19220087. The next prime is 19220099. The reversal of 19220096 is 69002291.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (19220099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16460 + ... + 17588.

It is an arithmetic number, because the mean of its divisors is an integer number (720375).

Almost surely, 219220096 is an apocalyptic number.

19220096 is a gapful number since it is divisible by the number (16) 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 19220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23052000).

19220096 is an abundant number, since it is smaller than the sum of its proper divisors (26883904).

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

19220096 is a wasteful number, since it uses less digits than its factorization.

19220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 19220096 is about 4384.0729920931. The cubic root of 19220096 is about 267.8665705448.

The spelling of 19220096 in words is "nineteen million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1129 1216 2128 2258 2432 4256 4516 7903 8512 9032 15806 17024 18064 21451 31612 36128 42902 63224 72256 85804 126448 144512 150157 171608 252896 300314 343216 505792 600628 686432 1011584 1201256 1372864 2402512 2745728 4805024 9610048 19220096