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197772948 = 223310118131
BaseRepresentation
bin10111100100111…
…00011010010100
3111210010220111000
423302130122110
5401112213243
631342543300
74621020342
oct1362343224
9453126430
10197772948
11a170181a
1256297b30
1331c87719
141c3a2992
15125695d3
hexbc9c694

197772948 has 48 divisors (see below), whose sum is σ = 517849920. Its totient is φ = 65268000.

The previous prime is 197772947. The next prime is 197772961. The reversal of 197772948 is 849277791.

197772948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1977729482 = 78228277921221408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 197772894 and 197772903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197772941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1843 + ... + 19973.

It is an arithmetic number, because the mean of its divisors is an integer number (10788540).

Almost surely, 2197772948 is an apocalyptic number.

197772948 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 197772948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258924960).

197772948 is an abundant number, since it is smaller than the sum of its proper divisors (320076972).

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

197772948 is a wasteful number, since it uses less digits than its factorization.

197772948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18245 (or 18237 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 197772948 is about 14063.1770237027. The cubic root of 197772948 is about 582.6247940057.

The spelling of 197772948 in words is "one hundred ninety-seven million, seven hundred seventy-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5454 10908 18131 36262 54393 72524 108786 163179 217572 326358 489537 652716 979074 1831231 1958148 3662462 5493693 7324924 10987386 16481079 21974772 32962158 49443237 65924316 98886474 197772948