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226657597740 = 2235723767137227
BaseRepresentation
bin1101001100010111011…
…0000111100100101100
3210200001011020221221020
43103011312013210230
512203143321111430
6252043002534140
722242533535600
oct3230566074454
9720034227836
10226657597740
1188141339a12
1237b17207350
13184b20a6b52
14ad82673500
155d68921b10
hex34c5d8792c

226657597740 has 576 divisors, whose sum is σ = 778557298176. Its totient is φ = 49075310592.

The previous prime is 226657597711. The next prime is 226657597753. The reversal of 226657597740 is 47795756622.

226657597740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2266575977402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 998491507 + ... + 998491733.

It is an arithmetic number, because the mean of its divisors is an integer number (1351661976).

Almost surely, 2226657597740 is an apocalyptic number.

226657597740 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 226657597740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389278649088).

226657597740 is an abundant number, since it is smaller than the sum of its proper divisors (551899700436).

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

226657597740 is a wasteful number, since it uses less digits than its factorization.

226657597740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 60.

The spelling of 226657597740 in words is "two hundred twenty-six billion, six hundred fifty-seven million, five hundred ninety-seven thousand, seven hundred forty".