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226423855350 = 23252711232997101
BaseRepresentation
bin1101001011011111101…
…0011101100011110110
3210122102212102121122200
43102313322131203312
512202204001332400
6252003453005330
722233665005110
oct3226772354366
9718385377580
10226423855350
11880313aa890
1237a70a83846
1318475837344
14ad5d5ca3b0
155d5314eb00
hex34b7e9d8f6

226423855350 has 1152 divisors, whose sum is σ = 835326535680. Its totient is φ = 42577920000.

The previous prime is 226423855303. The next prime is 226423855351. The reversal of 226423855350 is 53558324622.

226423855350 is a `hidden beast` number, since 2 + 2 + 6 + 42 + 3 + 8 + 553 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 226423855296 and 226423855305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226423855351) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2241820300 + ... + 2241820400.

It is an arithmetic number, because the mean of its divisors is an integer number (725109840).

Almost surely, 2226423855350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226423855350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417663267840).

226423855350 is an abundant number, since it is smaller than the sum of its proper divisors (608902680330).

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

226423855350 is a wasteful number, since it uses less digits than its factorization.

226423855350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 226423855350 in words is "two hundred twenty-six billion, four hundred twenty-three million, eight hundred fifty-five thousand, three hundred fifty".