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226475520 = 293537797
BaseRepresentation
bin11010111111110…
…11111000000000
3120210011011000020
431133323320000
5430434204040
634250053440
75420003325
oct1537737000
9523134006
10226475520
11106926457
1263a1a280
1337bc6cab
1422114b4c
1514d38cd0
hexd7fbe00

226475520 has 160 divisors (see below), whose sum is σ = 744514848. Its totient is φ = 58687488.

The previous prime is 226475507. The next prime is 226475521. The reversal of 226475520 is 25574622.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2264755202 = 102582322318540800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226475521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283762 + ... + 284558.

Almost surely, 2226475520 is an apocalyptic number.

226475520 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 226475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372257424).

226475520 is an abundant number, since it is smaller than the sum of its proper divisors (518039328).

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

226475520 is an equidigital number, since it uses as much as digits as its factorization.

226475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 226475520 is about 15049.1036277913. The cubic root of 226475520 is about 609.5468461035.

The spelling of 226475520 in words is "two hundred twenty-six million, four hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 512 555 592 640 740 768 797 888 960 1110 1184 1280 1480 1536 1594 1776 1920 2220 2368 2391 2560 2960 3188 3552 3840 3985 4440 4736 4782 5920 6376 7104 7680 7970 8880 9472 9564 11840 11955 12752 14208 15940 17760 18944 19128 23680 23910 25504 28416 29489 31880 35520 38256 47360 47820 51008 56832 58978 63760 71040 76512 88467 94720 95640 102016 117956 127520 142080 147445 153024 176934 191280 204032 235912 255040 284160 294890 306048 353868 382560 408064 442335 471824 510080 589780 612096 707736 765120 884670 943648 1020160 1179560 1224192 1415472 1530240 1769340 1887296 2040320 2359120 2830944 3060480 3538680 3774592 4718240 5661888 6120960 7077360 7549184 9436480 11323776 14154720 15098368 18872960 22647552 28309440 37745920 45295104 56618880 75491840 113237760 226475520