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98123220 = 2232513192207
BaseRepresentation
bin1011101100100…
…11110111010100
320211122011202100
411312103313110
5200104420340
613423042100
72301014346
oct566236724
9224564670
1098123220
115042a478
1228a40330
13174374a0
14d063296
158933830
hex5d93dd4

98123220 has 144 divisors (see below), whose sum is σ = 337559040. Its totient is φ = 22871808.

The previous prime is 98123219. The next prime is 98123227. The reversal of 98123220 is 2232189.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98123227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43357 + ... + 45563.

It is an arithmetic number, because the mean of its divisors is an integer number (2344160).

Almost surely, 298123220 is an apocalyptic number.

98123220 is a gapful number since it is divisible by the number (90) 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 98123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168779520).

98123220 is an abundant number, since it is smaller than the sum of its proper divisors (239435820).

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

98123220 is a wasteful number, since it uses less digits than its factorization.

98123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 98123220 is about 9905.7165313772. The cubic root of 98123220 is about 461.2367788750.

The spelling of 98123220 in words is "ninety-eight million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2207 2223 2340 2470 2964 3420 3705 4414 4446 4940 6621 7410 8828 8892 11035 11115 13242 14820 19863 22070 22230 26484 28691 33105 39726 41933 44140 44460 57382 66210 79452 83866 86073 99315 114764 125799 132420 143455 167732 172146 198630 209665 251598 258219 286910 344292 377397 397260 419330 430365 503196 516438 545129 573820 628995 754794 838660 860730 1032876 1090258 1257990 1291095 1509588 1635387 1721460 1886985 2180516 2515980 2582190 2725645 3270774 3773970 4906161 5164380 5451290 6541548 7547940 8176935 9812322 10902580 16353870 19624644 24530805 32707740 49061610 98123220