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226613465400 = 233527217534397
BaseRepresentation
bin1101001100001100110…
…1110001000100111000
3210122221002012210202010
43103003031301010320
512203101021343100
6252034345005520
722241456450100
oct3230315610470
9718832183663
10226613465400
1188119436703
1237b044838a0
13184a5bc443a
14ad7a866200
155d64b05750
hex34c3371138

226613465400 has 288 divisors, whose sum is σ = 817848033840. Its totient is φ = 51756042240.

The previous prime is 226613465357. The next prime is 226613465401. The reversal of 226613465400 is 4564316622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226613465401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51536002 + ... + 51540398.

Almost surely, 2226613465400 is an apocalyptic number.

226613465400 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 226613465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408924016920).

226613465400 is an abundant number, since it is smaller than the sum of its proper divisors (591234568440).

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

226613465400 is a wasteful number, since it uses less digits than its factorization.

226613465400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 226613465400 in words is "two hundred twenty-six billion, six hundred thirteen million, four hundred sixty-five thousand, four hundred".