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2228697096192 = 21333721979137
BaseRepresentation
bin100000011011101000101…
…100101110000000000000
321220001122201210001211000
4200123220230232000000
5243003332424034232
64423503241252000
7320006122514400
oct40335054560000
97801581701730
102228697096192
1178a204455106
122bbb2a194000
1313221c034a28
1479c25d40800
153ce909b527c
hex206e8b2e000

2228697096192 has 1344 divisors, whose sum is σ = 8247595392000. Its totient is φ = 591272607744.

The previous prime is 2228697096167. The next prime is 2228697096193. The reversal of 2228697096192 is 2916907968222.

2228697096192 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 6 + 9 + 7 + 0 + 9 + 619 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (2228697096193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16267861948 + ... + 16267862084.

Almost surely, 22228697096192 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 2228697096192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123797696000).

2228697096192 is an abundant number, since it is smaller than the sum of its proper divisors (6018898295808).

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

2228697096192 is a wasteful number, since it uses less digits than its factorization.

2228697096192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 2228697096192 in words is "two trillion, two hundred twenty-eight billion, six hundred ninety-seven million, ninety-six thousand, one hundred ninety-two".