Search a number
-
+
94228920 = 23345127229
BaseRepresentation
bin1011001110111…
…01000110111000
320120022022210000
411213131012320
5143110311140
613203353000
72222634612
oct547350670
9216268700
1094228920
114920a645
1227682760
13166a2a76
14c72bdb2
158414a30
hex59dd1b8

94228920 has 160 divisors (see below), whose sum is σ = 320601600. Its totient is φ = 24820992.

The previous prime is 94228903. The next prime is 94228921. The reversal of 94228920 is 2982249.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94228921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 411366 + ... + 411594.

It is an arithmetic number, because the mean of its divisors is an integer number (2003760).

Almost surely, 294228920 is an apocalyptic number.

94228920 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 94228920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160300800).

94228920 is an abundant number, since it is smaller than the sum of its proper divisors (226372680).

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

94228920 is a wasteful number, since it uses less digits than its factorization.

94228920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 94228920 is about 9707.1581835262. The cubic root of 94228920 is about 455.0523950450.

The spelling of 94228920 in words is "ninety-four million, two hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 127 135 162 180 216 229 254 270 324 360 381 405 458 508 540 635 648 687 762 810 916 1016 1080 1143 1145 1270 1374 1524 1620 1832 1905 2061 2286 2290 2540 2748 3048 3240 3429 3435 3810 4122 4572 4580 5080 5496 5715 6183 6858 6870 7620 8244 9144 9160 10287 10305 11430 12366 13716 13740 15240 16488 17145 18549 20574 20610 22860 24732 27432 27480 29083 30915 34290 37098 41148 41220 45720 49464 51435 58166 61830 68580 74196 82296 82440 87249 92745 102870 116332 123660 137160 145415 148392 174498 185490 205740 232664 247320 261747 290830 348996 370980 411480 436245 523494 581660 697992 741960 785241 872490 1046988 1163320 1308735 1570482 1744980 2093976 2355723 2617470 3140964 3489960 3926205 4711446 5234940 6281928 7852410 9422892 10469880 11778615 15704820 18845784 23557230 31409640 47114460 94228920