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216425520 = 243751237
BaseRepresentation
bin11001110011001…
…10010000110000
3120002020120000000
430321212100300
5420401104040
633250430000
75235405123
oct1471462060
9502216000
10216425520
11101191773
1260592300
1335ab874c
1420a5a3ba
1514001130
hexce66430

216425520 has 160 divisors (see below), whose sum is σ = 755279040. Its totient is φ = 57666816.

The previous prime is 216425519. The next prime is 216425533. The reversal of 216425520 is 25524612.

216425520 is a `hidden beast` number, since 216 + 425 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174342 + ... + 175578.

It is an arithmetic number, because the mean of its divisors is an integer number (4720494).

Almost surely, 2216425520 is an apocalyptic number.

216425520 is a gapful number since it is divisible by the number (20) 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 216425520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377639520).

216425520 is an abundant number, since it is smaller than the sum of its proper divisors (538853520).

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

216425520 is an equidigital number, since it uses as much as digits as its factorization.

216425520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 216425520 is about 14711.4078184244. The cubic root of 216425520 is about 600.3937415561.

The spelling of 216425520 in words is "two hundred sixteen million, four hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1237 1296 1458 1620 1944 2160 2187 2430 2474 2916 3240 3645 3711 3888 4374 4860 4948 5832 6185 6480 7290 7422 8748 9720 9896 10935 11133 11664 12370 14580 14844 17496 18555 19440 19792 21870 22266 24740 29160 29688 33399 34992 37110 43740 44532 49480 55665 58320 59376 66798 74220 87480 89064 98960 100197 111330 133596 148440 166995 174960 178128 200394 222660 267192 296880 300591 333990 400788 445320 500985 534384 601182 667980 801576 890640 901773 1001970 1202364 1335960 1502955 1603152 1803546 2003940 2404728 2671920 2705319 3005910 3607092 4007880 4508865 4809456 5410638 6011820 7214184 8015760 9017730 10821276 12023640 13526595 14428368 18035460 21642552 24047280 27053190 36070920 43285104 54106380 72141840 108212760 216425520