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196822720 = 2653119841
BaseRepresentation
bin10111011101101…
…00011011000000
3111201100122000101
423232310123000
5400341311340
631310332144
74606652113
oct1356643300
9451318011
10196822720
11a1112906
1255aba054
1331a14063
141c1d657a
151242cc9a
hexbbb46c0

196822720 has 56 divisors (see below), whose sum is σ = 483827328. Its totient is φ = 76185600.

The previous prime is 196822709. The next prime is 196822723. The reversal of 196822720 is 27228691.

196822720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

196822720 is a nontrivial binomial coefficient, being equal to C(19841, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 196822720.

It is not an unprimeable number, because it can be changed into a prime (196822723) 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, 1 + ... + 19840.

Almost surely, 2196822720 is an apocalyptic number.

196822720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

196822720 is the 19840-th triangular number.

196822720 is the 6614-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241913664).

196822720 is an abundant number, since it is smaller than the sum of its proper divisors (287004608).

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

196822720 is a wasteful number, since it uses less digits than its factorization.

196822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19889 (or 19879 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 196822720 is about 14029.3520876768. The cubic root of 196822720 is about 581.6901946223.

The spelling of 196822720 in words is "one hundred ninety-six million, eight hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 19841 39682 79364 99205 158728 198410 317456 396820 615071 634912 793640 1230142 1269824 1587280 2460284 3075355 3174560 4920568 6150710 6349120 9841136 12301420 19682272 24602840 39364544 49205680 98411360 196822720