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89290224 = 24324779167
BaseRepresentation
bin1010101001001…
…11010111110000
320020000102011100
411110213113300
5140324241344
612505444400
72132645232
oct524472760
9206012140
1089290224
1146447081
1225aa0700
1315663b6a
14bc04252
157c8b569
hex55275f0

89290224 has 120 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 28589184.

The previous prime is 89290211. The next prime is 89290237. The reversal of 89290224 is 42209298.

It is an interprime number because it is at equal distance from previous prime (89290211) and next prime (89290237).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534589 + ... + 534755.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 289290224 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 89290224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

89290224 is an abundant number, since it is smaller than the sum of its proper divisors (170693136).

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

89290224 is a wasteful number, since it uses less digits than its factorization.

89290224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

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

The square root of 89290224 is about 9449.3504538672. The cubic root of 89290224 is about 446.9592924207.

The spelling of 89290224 in words is "eighty-nine million, two hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 79 94 141 144 158 167 188 237 282 316 334 376 423 474 501 564 632 668 711 752 846 948 1002 1128 1264 1336 1422 1503 1692 1896 2004 2256 2672 2844 3006 3384 3713 3792 4008 5688 6012 6768 7426 7849 8016 11139 11376 12024 13193 14852 15698 22278 23547 24048 26386 29704 31396 33417 39579 44556 47094 52772 59408 62792 66834 70641 79158 89112 94188 105544 118737 125584 133668 141282 158316 178224 188376 211088 237474 267336 282564 316632 376752 474948 534672 565128 620071 633264 949896 1130256 1240142 1860213 1899792 2480284 3720426 4960568 5580639 7440852 9921136 11161278 14881704 22322556 29763408 44645112 89290224