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226212480 = 27335131953
BaseRepresentation
bin11010111101110…
…11101010000000
3120202122210012000
431132323222000
5430402244410
634240304000
75414526414
oct1536735200
9522583160
10226212480
1110676686a
1263912000
1337b34350
1422086d44
1514cd5dc0
hexd7bba80

226212480 has 512 divisors, whose sum is σ = 925344000. Its totient is φ = 51757056.

The previous prime is 226212479. The next prime is 226212491. The reversal of 226212480 is 84212622.

It is a happy number.

It is a super-2 number, since 2×2262124802 = 102344172215500800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4268134 + ... + 4268186.

Almost surely, 2226212480 is an apocalyptic number.

226212480 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 226212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

226212480 is an abundant number, since it is smaller than the sum of its proper divisors (699131520).

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

226212480 is a wasteful number, since it uses less digits than its factorization.

226212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 226212480 is about 15040.3616977784. The cubic root of 226212480 is about 609.3107686145.

The spelling of 226212480 in words is "two hundred twenty-six million, two hundred twelve thousand, four hundred eighty".