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198029568 = 2831122131
BaseRepresentation
bin10111100110110…
…11000100000000
3111210121221111110
423303123010000
5401143421233
631352243320
74623136452
oct1363330400
9453557443
10198029568
11a1867600
12563a0540
1332047479
141c42c2d2
15125ba663
hexbcdb100

198029568 has 108 divisors (see below), whose sum is σ = 579588464. Its totient is φ = 59980800.

The previous prime is 198029567. The next prime is 198029599. The reversal of 198029568 is 865920891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (198029567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91863 + ... + 93993.

Almost surely, 2198029568 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 198029568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289794232).

198029568 is an abundant number, since it is smaller than the sum of its proper divisors (381558896).

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

198029568 is a wasteful number, since it uses less digits than its factorization.

198029568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 198029568 is about 14072.2978933790. The cubic root of 198029568 is about 582.8766797428.

The spelling of 198029568 in words is "one hundred ninety-eight million, twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1408 1452 1936 2112 2131 2816 2904 3872 4224 4262 5808 6393 7744 8448 8524 11616 12786 15488 17048 23232 23441 25572 30976 34096 46464 46882 51144 68192 70323 92928 93764 102288 136384 140646 187528 204576 257851 272768 281292 375056 409152 515702 545536 562584 750112 773553 818304 1031404 1125168 1500224 1547106 1636608 2062808 2250336 3000448 3094212 4125616 4500672 6000896 6188424 8251232 9001344 12376848 16502464 18002688 24753696 33004928 49507392 66009856 99014784 198029568