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2332145135320 = 23572111317489457
BaseRepresentation
bin100001111011111110101…
…011101010111011011000
322020221200012111221112121
4201323332223222323120
5301202213123312240
64543212255551024
7330330505400200
oct41737653527330
98227605457477
102332145135320
1181a06a148020
12317b9a82b474
1313bbc6cb9cc0
1480c3acb5400
15409e779604a
hex21efeaeaed8

2332145135320 has 384 divisors, whose sum is σ = 7593020688960. Its totient is φ = 631515709440.

The previous prime is 2332145135279. The next prime is 2332145135431. The reversal of 2332145135320 is 235315412332.

It is a super-2 number, since 2×23321451353202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4520032 + ... + 5009488.

Almost surely, 22332145135320 is an apocalyptic number.

2332145135320 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 2332145135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796510344480).

2332145135320 is an abundant number, since it is smaller than the sum of its proper divisors (5260875553640).

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

2332145135320 is a wasteful number, since it uses less digits than its factorization.

2332145135320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489523 (or 489512 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 2332145135320 in words is "two trillion, three hundred thirty-two billion, one hundred forty-five million, one hundred thirty-five thousand, three hundred twenty".