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198498816 = 293383173
BaseRepresentation
bin10111101010011…
…01101000000000
3111211111210012000
423311031220000
5401303430231
631410304000
74630132515
oct1365155000
9454453160
10198498816
11a205810a
1256588000
133217cc29
141c51130c
151265e6e6
hexbd4da00

198498816 has 160 divisors (see below), whose sum is σ = 598086720. Its totient is φ = 64991232.

The previous prime is 198498791. The next prime is 198498827. The reversal of 198498816 is 618894891.

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

It is a nude number because it is divisible by every one of its digits.

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, 1147306 + ... + 1147478.

It is an arithmetic number, because the mean of its divisors is an integer number (3738042).

Almost surely, 2198498816 is an apocalyptic number.

198498816 is a gapful number since it is divisible by the number (16) 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 198498816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299043360).

198498816 is an abundant number, since it is smaller than the sum of its proper divisors (399587904).

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

198498816 is an equidigital number, since it uses as much as digits as its factorization.

198498816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 261 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 198498816 is about 14088.9607849550. The cubic root of 198498816 is about 583.3367086245.

The spelling of 198498816 in words is "one hundred ninety-eight million, four hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 173 192 216 249 256 288 332 346 384 432 498 512 519 576 664 692 747 768 864 996 1038 1152 1328 1384 1494 1536 1557 1728 1992 2076 2241 2304 2656 2768 2988 3114 3456 3984 4152 4482 4608 4671 5312 5536 5976 6228 6912 7968 8304 8964 9342 10624 11072 11952 12456 13824 14359 15936 16608 17928 18684 21248 22144 23904 24912 28718 31872 33216 35856 37368 42496 43077 44288 47808 49824 57436 63744 66432 71712 74736 86154 88576 95616 99648 114872 127488 129231 132864 143424 149472 172308 191232 199296 229744 258462 265728 286848 298944 344616 382464 387693 398592 459488 516924 573696 597888 689232 775386 797184 918976 1033848 1147392 1195776 1378464 1550772 1837952 2067696 2391552 2756928 3101544 3675904 4135392 5513856 6203088 7351808 8270784 11027712 12406176 16541568 22055424 24812352 33083136 49624704 66166272 99249408 198498816