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168227968 = 2771107173
BaseRepresentation
bin10100000011011…
…11010010000000
3102201112212101111
422001233102000
5321031243333
624405413104
74111625356
oct1201572200
9381485344
10168227968
1186a62187
124840a194
1328b1189c
14184b17d6
15eb804cd
hexa06f480

168227968 has 64 divisors (see below), whose sum is σ = 345021120. Its totient is φ = 81679360.

The previous prime is 168227963. The next prime is 168227987. The reversal of 168227968 is 869722861.

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 (168227963) 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, 972330 + ... + 972502.

It is an arithmetic number, because the mean of its divisors is an integer number (5390955).

Almost surely, 2168227968 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 168227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172510560).

168227968 is an abundant number, since it is smaller than the sum of its proper divisors (176793152).

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

168227968 is a wasteful number, since it uses less digits than its factorization.

168227968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 168227968 is about 12970.2724720801. The cubic root of 168227968 is about 552.0343043863.

The spelling of 168227968 in words is "one hundred sixty-eight million, two hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 71 107 128 142 173 214 284 346 428 568 692 856 1136 1384 1712 2272 2768 3424 4544 5536 6848 7597 9088 11072 12283 13696 15194 18511 22144 24566 30388 37022 49132 60776 74044 98264 121552 148088 196528 243104 296176 393056 486208 592352 786112 972416 1184704 1314281 1572224 2369408 2628562 5257124 10514248 21028496 42056992 84113984 168227968