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2230833993696 = 253471121377417
BaseRepresentation
bin100000011101101000000…
…100010101011111100000
321220021011122201201010000
4200131220010111133200
5243022222000244241
64424455254340000
7320113101035310
oct40355004253740
97807148651100
102230833993696
117901006a4900
1230042595a600
1313249c971219
1479d89a73440
153d0683b9eb6
hex207681157e0

2230833993696 has 720 divisors, whose sum is σ = 8302969892448. Its totient is φ = 575130378240.

The previous prime is 2230833993691. The next prime is 2230833993701. The reversal of 2230833993696 is 6963993380322.

2230833993696 is a `hidden beast` number, since 2 + 230 + 8 + 3 + 39 + 9 + 369 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2230833993691) and next prime (2230833993701).

It is a super-3 number, since 3×22308339936963 (a number of 38 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230833993691) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 300769380 + ... + 300776796.

Almost surely, 22230833993696 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 2230833993696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151484946224).

2230833993696 is an abundant number, since it is smaller than the sum of its proper divisors (6072135898752).

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

2230833993696 is a wasteful number, since it uses less digits than its factorization.

2230833993696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7605 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 63.

The spelling of 2230833993696 in words is "two trillion, two hundred thirty billion, eight hundred thirty-three million, nine hundred ninety-three thousand, six hundred ninety-six".