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227552085040 = 245731139181521
BaseRepresentation
bin1101001111101100101…
…0010100010000110000
3210202100111101121211111
43103323022110100300
512212011313210130
6252311434523104
722303644544360
oct3237312242060
9722314347744
10227552085040
1188560246515
1238126896494
13185c54c0287
14b0293969a0
155dbc21002a
hex34fb294430

227552085040 has 320 divisors, whose sum is σ = 633319464960. Its totient is φ = 74400768000.

The previous prime is 227552085031. The next prime is 227552085109. The reversal of 227552085040 is 40580255722.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 227552084984 and 227552085002.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 436759980 + ... + 436760500.

It is an arithmetic number, because the mean of its divisors is an integer number (1979123328).

Almost surely, 2227552085040 is an apocalyptic number.

227552085040 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 227552085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316659732480).

227552085040 is an abundant number, since it is smaller than the sum of its proper divisors (405767379920).

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

227552085040 is a wasteful number, since it uses less digits than its factorization.

227552085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 40.

The spelling of 227552085040 in words is "two hundred twenty-seven billion, five hundred fifty-two million, eighty-five thousand, forty".