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2231157420000 = 25335431133283
BaseRepresentation
bin100000011101111011010…
…110000110111111100000
321220022000012022110121000
4200131323112012333200
5243023402244420000
64424551330432000
7320124106104165
oct40357326067740
97808005273530
102231157420000
11790257219873
123004b6132600
13132521981b32
1479dba9c406c
153d0869a5000
hex2077b586fe0

2231157420000 has 480 divisors, whose sum is σ = 8394204994560. Its totient is φ = 575778240000.

The previous prime is 2231157419993. The next prime is 2231157420001. The reversal of 2231157420000 is 247511322.

2231157420000 is a `hidden beast` number, since 2 + 231 + 1 + 5 + 7 + 420 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×22311574200003 (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231157420001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16673359 + ... + 16806641.

It is an arithmetic number, because the mean of its divisors is an integer number (17487927072).

Almost surely, 22231157420000 is an apocalyptic number.

2231157420000 is a gapful number since it is divisible by the number (20) 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 2231157420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197102497280).

2231157420000 is an abundant number, since it is smaller than the sum of its proper divisors (6163047574560).

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

2231157420000 is a wasteful number, since it uses less digits than its factorization.

2231157420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133353 (or 133324 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 2231157420000 in words is "two trillion, two hundred thirty-one billion, one hundred fifty-seven million, four hundred twenty thousand".