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189914220 = 22355231699
BaseRepresentation
bin10110101000111…
…01110001101100
3111020100122100000
423110131301230
5342104223340
630502304300
74464146526
oct1324356154
9436318300
10189914220
1198224401
1253728090
13304656a2
141b318a16
1511a15d30
hexb51dc6c

189914220 has 144 divisors (see below), whose sum is σ = 623750400. Its totient is φ = 48413376.

The previous prime is 189914213. The next prime is 189914227. The reversal of 189914220 is 22419981.

It is an interprime number because it is at equal distance from previous prime (189914213) and next prime (189914227).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (189914227) 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, 110931 + ... + 112629.

It is an arithmetic number, because the mean of its divisors is an integer number (4331600).

Almost surely, 2189914220 is an apocalyptic number.

189914220 is a gapful number since it is divisible by the number (10) 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 189914220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311875200).

189914220 is an abundant number, since it is smaller than the sum of its proper divisors (433836180).

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

189914220 is a wasteful number, since it uses less digits than its factorization.

189914220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 189914220 is about 13780.9368331765. The cubic root of 189914220 is about 574.8031790132.

The spelling of 189914220 in words is "one hundred eighty-nine million, nine hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 243 270 276 324 345 405 414 460 486 540 621 690 810 828 972 1035 1215 1242 1380 1620 1699 1863 2070 2430 2484 3105 3398 3726 4140 4860 5097 5589 6210 6796 7452 8495 9315 10194 11178 12420 15291 16990 18630 20388 22356 25485 27945 30582 33980 37260 39077 45873 50970 55890 61164 76455 78154 91746 101940 111780 117231 137619 152910 156308 183492 195385 229365 234462 275238 305820 351693 390770 412857 458730 468924 550476 586155 688095 703386 781540 825714 917460 1055079 1172310 1376190 1406772 1651428 1758465 2064285 2110158 2344620 2752380 3165237 3516930 4128570 4220316 5275395 6330474 7033860 8257140 9495711 10550790 12660948 15826185 18991422 21101580 31652370 37982844 47478555 63304740 94957110 189914220