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96225732 = 2234477189
BaseRepresentation
bin1011011110001…
…00100111000100
320201001202220000
411233010213010
5144113210412
613314241300
72245622331
oct557044704
9221052800
1096225732
114a3538a9
1228286230
1316c21905
14cacb988
1586ab4dc
hex5bc49c4

96225732 has 120 divisors (see below), whose sum is σ = 263450880. Its totient is φ = 30602880.

The previous prime is 96225697. The next prime is 96225737. The reversal of 96225732 is 23752269.

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 (96225737) 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 39 ways as a sum of consecutive naturals, for example, 1081144 + ... + 1081232.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 296225732 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 96225732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

96225732 is an abundant number, since it is smaller than the sum of its proper divisors (167225148).

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

96225732 is a wasteful number, since it uses less digits than its factorization.

96225732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 96225732 is about 9809.4715453994. The cubic root of 96225732 is about 458.2443030892.

The spelling of 96225732 in words is "ninety-six million, two hundred twenty-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 71 81 89 94 108 141 142 162 178 188 213 267 282 284 324 356 423 426 534 564 639 801 846 852 1068 1269 1278 1602 1692 1917 2403 2538 2556 3204 3337 3807 3834 4183 4806 5076 5751 6319 6674 7209 7614 7668 8366 9612 10011 11502 12549 12638 13348 14418 15228 16732 18957 20022 23004 25098 25276 28836 30033 37647 37914 40044 50196 56871 60066 75294 75828 90099 112941 113742 120132 150588 170613 180198 225882 227484 270297 296993 338823 341226 360396 451764 511839 540594 593986 677646 682452 890979 1023678 1081188 1187972 1355292 1781958 2047356 2672937 3563916 5345874 8018811 10691748 16037622 24056433 32075244 48112866 96225732