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2220651045504 = 273219499203317
BaseRepresentation
bin100000010100001001000…
…111011110001010000000
321212021212222201100020200
4200110021013132022000
5242340343131424004
64420053014405200
7316302542305563
oct40241107361200
97767788640220
102220651045504
11786855694141
122ba463660800
131315390b9ca8
14796a14ca4da
153cb6e420239
hex205091de280

2220651045504 has 192 divisors, whose sum is σ = 6739991700000. Its totient is φ = 699849455616.

The previous prime is 2220651045499. The next prime is 2220651045521. The reversal of 2220651045504 is 4055401560222.

2220651045504 is a `hidden beast` number, since 22 + 20 + 6 + 5 + 104 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×22206510455042 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10820454 + ... + 11023770.

Almost surely, 22220651045504 is an apocalyptic number.

2220651045504 is a gapful number since it is divisible by the number (24) 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 2220651045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369995850000).

2220651045504 is an abundant number, since it is smaller than the sum of its proper divisors (4519340654496).

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

2220651045504 is a wasteful number, since it uses less digits than its factorization.

2220651045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203855 (or 203840 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2220651045504 in words is "two trillion, two hundred twenty billion, six hundred fifty-one million, forty-five thousand, five hundred four".