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226158057151488 = 210387211192173
BaseRepresentation
bin110011011011000010000110…
…101010001101110000000000
31002122202111110212001100000000
4303123002012222031300000
5214120333200112321423
62120555324400000000
765431244325433500
oct6333020652156000
91078674425040000
10226158057151488
1166074103374070
1221446b43900000
1399267c84b54c7
143dbc173525a00
151b22d53ec6843
hexcdb086a8dc00

226158057151488 has 3564 divisors, whose sum is σ = 913455510689592. Its totient is φ = 55328969687040.

The previous prime is 226158057151459. The next prime is 226158057151519. The reversal of 226158057151488 is 884151750851622.

It is a happy number.

226158057151488 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 5 + 8 + 0 + 571 + 51 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3564).

It is a super-2 number, since 2×2261580571514882 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 323 ways as a sum of consecutive naturals, for example, 1307272006570 + ... + 1307272006742.

Almost surely, 2226158057151488 is an apocalyptic number.

226158057151488 is a gapful number since it is divisible by the number (28) 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 226158057151488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456727755344796).

226158057151488 is an abundant number, since it is smaller than the sum of its proper divisors (687297453538104).

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

226158057151488 is an equidigital number, since it uses as much as digits as its factorization.

226158057151488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 63.

The spelling of 226158057151488 in words is "two hundred twenty-six trillion, one hundred fifty-eight billion, fifty-seven million, one hundred fifty-one thousand, four hundred eighty-eight".