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216194496 = 2637315189
BaseRepresentation
bin11001110001011…
…01110111000000
3120001210211002120
430320231313000
5420321210441
633241444240
75233423440
oct1470556700
9501724076
10216194496
11101044141
12604a0680
1335a3754b
14209da120
1513ea7966
hexce2ddc0

216194496 has 112 divisors (see below), whose sum is σ = 674949120. Its totient is φ = 59765760.

The previous prime is 216194479. The next prime is 216194543. The reversal of 216194496 is 694491612.

216194496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39070 + ... + 44258.

Almost surely, 2216194496 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 216194496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337474560).

216194496 is an abundant number, since it is smaller than the sum of its proper divisors (458754624).

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

216194496 is a wasteful number, since it uses less digits than its factorization.

216194496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5232 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 216194496 is about 14703.5538561261. The cubic root of 216194496 is about 600.1800348626.

The spelling of 216194496 in words is "two hundred sixteen million, one hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 168 186 192 217 224 248 336 372 434 448 496 651 672 744 868 992 1302 1344 1488 1736 1984 2604 2976 3472 5189 5208 5952 6944 10378 10416 13888 15567 20756 20832 31134 36323 41512 41664 62268 72646 83024 108969 124536 145292 160859 166048 217938 249072 290584 321718 332096 435876 482577 498144 581168 643436 871752 965154 996288 1126013 1162336 1286872 1743504 1930308 2252026 2324672 2573744 3378039 3487008 3860616 4504052 5147488 6756078 6974016 7721232 9008104 10294976 13512156 15442464 18016208 27024312 30884928 36032416 54048624 72064832 108097248 216194496