Search a number
-
+
92229120 = 293254003
BaseRepresentation
bin1010111111101…
…00111000000000
320102112201120100
411133310320000
5142102312440
613052442400
72166635364
oct537647000
9212481510
1092229120
1148074115
1226a79400
1316152759
14c36b2a4
15816c230
hex57f4e00

92229120 has 120 divisors (see below), whose sum is σ = 319495176. Its totient is φ = 24588288.

The previous prime is 92229113. The next prime is 92229121. The reversal of 92229120 is 2192229.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92229121) 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 11 ways as a sum of consecutive naturals, for example, 21039 + ... + 25041.

Almost surely, 292229120 is an apocalyptic number.

92229120 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 92229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159747588).

92229120 is an abundant number, since it is smaller than the sum of its proper divisors (227266056).

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

92229120 is a wasteful number, since it uses less digits than its factorization.

92229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 92229120 is about 9603.5993252530. The cubic root of 92229120 is about 451.8101899670.

The spelling of 92229120 in words is "ninety-two million, two hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4003 4608 5760 7680 8006 11520 12009 16012 20015 23040 24018 32024 36027 40030 48036 60045 64048 72054 80060 96072 120090 128096 144108 160120 180135 192144 240180 256192 288216 320240 360270 384288 480360 512384 576432 640480 720540 768576 960720 1024768 1152864 1280960 1441080 1537152 1921440 2049536 2305728 2561920 2882160 3074304 3842880 4611456 5123840 5764320 6148608 7685760 9222912 10247680 11528640 15371520 18445824 23057280 30743040 46114560 92229120