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10220222220984 = 23322953709130259
BaseRepresentation
bin1001010010111001010010…
…1101110000101010111000
31100012001011212012012110100
42110232110231300222320
52314422003342032414
633423034423315400
72103246430341636
oct224562455605270
940161155165410
1010220222220984
113290410004146
1211908b78abb60
135919bbbb9919
14274938c20356
1512acb88cb609
hex94b94b70ab8

10220222220984 has 192 divisors, whose sum is σ = 29215885140000. Its totient is φ = 3222628770816.

The previous prime is 10220222220973. The next prime is 10220222220991. The reversal of 10220222220984 is 48902222202201.

It is a happy number.

10220222220984 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 222 + 209 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78395647 + ... + 78525905.

Almost surely, 210220222220984 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 10220222220984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607942570000).

10220222220984 is an abundant number, since it is smaller than the sum of its proper divisors (18995662919016).

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

10220222220984 is a wasteful number, since it uses less digits than its factorization.

10220222220984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131062 (or 131055 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10220222220984 in words is "ten trillion, two hundred twenty billion, two hundred twenty-two million, two hundred twenty thousand, nine hundred eighty-four".