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197013888 = 2732199001
BaseRepresentation
bin10111011111000…
…11000110000000
3111201201100020200
423233203012000
5400413421023
631314405200
74611406341
oct1357430600
9451640220
10197013888
11a12334a5
1255b90800
1331a80086
141c2460c8
1512469743
hexbbe3180

197013888 has 96 divisors (see below), whose sum is σ = 596832600. Its totient is φ = 62208000.

The previous prime is 197013881. The next prime is 197013911. The reversal of 197013888 is 888310791.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197013881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17388 + ... + 26388.

Almost surely, 2197013888 is an apocalyptic number.

197013888 is a gapful number since it is divisible by the number (18) 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 197013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298416300).

197013888 is an abundant number, since it is smaller than the sum of its proper divisors (399818712).

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

197013888 is a wasteful number, since it uses less digits than its factorization.

197013888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9040 (or 9025 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 197013888 is about 14036.1635784142. The cubic root of 197013888 is about 581.8784597586.

The spelling of 197013888 in words is "one hundred ninety-seven million, thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 9001 10944 18002 21888 27003 36004 54006 72008 81009 108012 144016 162018 171019 216024 288032 324036 342038 432048 513057 576064 648072 684076 864096 1026114 1152128 1296144 1368152 1539171 1728192 2052228 2592288 2736304 3078342 3456384 4104456 5184576 5472608 6156684 8208912 10369152 10945216 12313368 16417824 21890432 24626736 32835648 49253472 65671296 98506944 197013888