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198722048 = 2972892
BaseRepresentation
bin10111101100001…
…00001000000000
3111211221010101212
423312010020000
5401333101143
631415145252
74632052400
oct1366041000
9454833355
10198722048
11a219a8a8
1256675228
133222a715
141c56c800
15126a5918
hexbd84200

198722048 has 90 divisors (see below), whose sum is σ = 467129421. Its totient is φ = 84209664.

The previous prime is 198722033. The next prime is 198722071. The reversal of 198722048 is 840227891.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 177635584 + 21086464 = 13328^2 + 4592^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=9968.

It is a super-2 number, since 2×1987220482 = 78980904722628608, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 198721996 and 198722014.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2232788 + ... + 2232876.

Almost surely, 2198722048 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 198722048

198722048 is an abundant number, since it is smaller than the sum of its proper divisors (268407373).

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

198722048 is an frugal number, since it uses more digits than its factorization.

198722048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 198722048 is about 14096.8807897350. The cubic root of 198722048 is about 583.5553004164. Note that the first 3 decimals are identical.

The spelling of 198722048 in words is "one hundred ninety-eight million, seven hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 178 196 224 256 356 392 448 512 623 712 784 896 1246 1424 1568 1792 2492 2848 3136 3584 4361 4984 5696 6272 7921 8722 9968 11392 12544 15842 17444 19936 22784 25088 31684 34888 39872 45568 55447 63368 69776 79744 110894 126736 139552 159488 221788 253472 279104 318976 388129 443576 506944 558208 776258 887152 1013888 1116416 1552516 1774304 2027776 2232832 3105032 3548608 4055552 6210064 7097216 12420128 14194432 24840256 28388864 49680512 99361024 198722048