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822380040 = 23355196173
BaseRepresentation
bin110001000001001…
…000011000001000
32010022110020100000
4301001020120020
53141012130130
6213334243000
726244054306
oct6101103010
92108406300
10822380040
11392237329
121ab4b6460
131014ba711
147b313276
154c2e8260
hex31048608

822380040 has 384 divisors, whose sum is σ = 3006057600. Its totient is φ = 201553920.

The previous prime is 822380011. The next prime is 822380063. The reversal of 822380040 is 40083228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 822379986 and 822380013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11265444 + ... + 11265516.

It is an arithmetic number, because the mean of its divisors is an integer number (7828275).

Almost surely, 2822380040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822380040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503028800).

822380040 is an abundant number, since it is smaller than the sum of its proper divisors (2183677560).

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

822380040 is a wasteful number, since it uses less digits than its factorization.

822380040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 822380040 is about 28677.1693163743. The cubic root of 822380040 is about 936.8948542693.

The spelling of 822380040 in words is "eight hundred twenty-two million, three hundred eighty thousand, forty".