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192114688 = 212173189
BaseRepresentation
bin10110111001101…
…11000000000000
3111101111102210211
423130313000000
5343140132223
631021403504
74521643063
oct1334670000
9441442724
10192114688
1199497677
1254409594
1330a5613c
141b72c8da
1511cecd0d
hexb737000

192114688 has 104 divisors (see below), whose sum is σ = 424621440. Its totient is φ = 86507520.

The previous prime is 192114641. The next prime is 192114701. The reversal of 192114688 is 886411291.

It is a self number, because there is not a number n which added to its sum of digits gives 192114688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2158548 + ... + 2158636.

Almost surely, 2192114688 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 192114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212310720).

192114688 is an abundant number, since it is smaller than the sum of its proper divisors (232506752).

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

192114688 is an equidigital number, since it uses as much as digits as its factorization.

192114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its digits is 27648, while the sum is 40.

The square root of 192114688 is about 13860.5442894570. The cubic root of 192114688 is about 577.0146724250.

The spelling of 192114688 in words is "one hundred ninety-two million, one hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 89 124 128 136 178 248 256 272 356 496 512 527 544 712 992 1024 1054 1088 1424 1513 1984 2048 2108 2176 2759 2848 3026 3968 4096 4216 4352 5518 5696 6052 7936 8432 8704 11036 11392 12104 15872 16864 17408 22072 22784 24208 31744 33728 34816 44144 45568 46903 48416 63488 67456 69632 88288 91136 93806 96832 126976 134912 176576 182272 187612 193664 269824 353152 364544 375224 387328 539648 706304 750448 774656 1079296 1412608 1500896 1549312 2158592 2825216 3001792 3098624 5650432 6003584 6197248 11300864 12007168 24014336 48028672 96057344 192114688