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226348518240 = 2532513173747409
BaseRepresentation
bin1101001011001101101…
…1000100101101100000
3210122020121200002120100
43102303123010231200
512202030210040430
6251552202142400
722232061442305
oct3226333045540
9718217602510
10226348518240
1187aa2923a09
1237a4b7b1a00
131846304a480
14ad535b90ac
155d4b71c960
hex34b36c4b60

226348518240 has 1152 divisors, whose sum is σ = 926071211520. Its totient is φ = 49814175744.

The previous prime is 226348518239. The next prime is 226348518241. The reversal of 226348518240 is 42815843622.

226348518240 is a `hidden beast` number, since 2 + 2 + 634 + 8 + 5 + 1 + 8 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226348518239) and next prime (226348518241).

It is a super-2 number, since 2×2263485182402 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226348518241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 553419156 + ... + 553419564.

It is an arithmetic number, because the mean of its divisors is an integer number (803881260).

Almost surely, 2226348518240 is an apocalyptic number.

226348518240 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 226348518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463035605760).

226348518240 is an abundant number, since it is smaller than the sum of its proper divisors (699722693280).

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

226348518240 is a wasteful number, since it uses less digits than its factorization.

226348518240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 226348518240 in words is "two hundred twenty-six billion, three hundred forty-eight million, five hundred eighteen thousand, two hundred forty".