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98223216 = 243713113199
BaseRepresentation
bin1011101101011…
…00010001110000
320211211020220220
411312230101300
5200121120331
613425133040
72301612030
oct566542160
9224736826
1098223216
1150498613
1228a8a180
1317470b60
14d08b8c0
158953296
hex5dac470

98223216 has 160 divisors (see below), whose sum is σ = 316646400. Its totient is φ = 25546752.

The previous prime is 98223211. The next prime is 98223227. The reversal of 98223216 is 61232289.

It is a happy number.

It is a super-2 number, since 2×982232162 = 19295600322765312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98223211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493485 + ... + 493683.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 298223216 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 98223216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158323200).

98223216 is an abundant number, since it is smaller than the sum of its proper divisors (218423184).

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

98223216 is a wasteful number, since it uses less digits than its factorization.

98223216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 98223216 is about 9910.7626346311. The cubic root of 98223216 is about 461.3934056634.

The spelling of 98223216 in words is "ninety-eight million, two hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 113 156 168 182 199 208 226 273 312 336 339 364 398 452 546 597 624 678 728 791 796 904 1092 1194 1356 1393 1456 1469 1582 1592 1808 2184 2373 2388 2587 2712 2786 2938 3164 3184 4179 4368 4407 4746 4776 5174 5424 5572 5876 6328 7761 8358 8814 9492 9552 10283 10348 11144 11752 12656 15522 16716 17628 18109 18984 20566 20696 22288 22487 23504 30849 31044 33432 35256 36218 37968 41132 41392 44974 54327 61698 62088 66864 67461 70512 72436 82264 89948 108654 123396 124176 134922 144872 157409 164528 179896 217308 246792 269844 289744 292331 314818 359792 434616 472227 493584 539688 584662 629636 869232 876993 944454 1079376 1169324 1259272 1753986 1888908 2046317 2338648 2518544 3507972 3777816 4092634 4677296 6138951 7015944 7555632 8185268 12277902 14031888 16370536 24555804 32741072 49111608 98223216