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23300211402240 = 29351710913911779
BaseRepresentation
bin1010100110001000000001…
…10100101110011000000000
310001111110220210110011012120
411103010000310232120000
511023222313104332430
6121315545213524240
74623245650055403
oct523040064563000
9101443823404176
1023300211402240
1174736229a0703
1227438a17a3680
13100027b68c706
145a7a443a5d3a
152a615a5e6610
hex153100d2e600

23300211402240 has 640 divisors, whose sum is σ = 80172493632000. Its totient is φ = 5752072175616.

The previous prime is 23300211402133. The next prime is 23300211402263. The reversal of 23300211402240 is 4220411200332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23300211402240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978108671 + ... + 1978120449.

It is an arithmetic number, because the mean of its divisors is an integer number (125269521300).

Almost surely, 223300211402240 is an apocalyptic number.

23300211402240 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 23300211402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40086246816000).

23300211402240 is an abundant number, since it is smaller than the sum of its proper divisors (56872282229760).

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

23300211402240 is a wasteful number, since it uses less digits than its factorization.

23300211402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070 (or 12054 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23300211402240 its reverse (4220411200332), we get a palindrome (27520622602572).

The spelling of 23300211402240 in words is "twenty-three trillion, three hundred billion, two hundred eleven million, four hundred two thousand, two hundred forty".