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290023197520 = 245723109337613
BaseRepresentation
bin1000011100001101011…
…10101100101101010000
31000201121012210221122011
410032012232230231100
514222431414310040
6341122415352304
726645021334550
oct4160656545520
91021535727564
10290023197520
11101aa85969a1
1248260222694
132146cba40a4
14100740db160
1578268843ea
hex4386bacb50

290023197520 has 320 divisors, whose sum is σ = 815252106240. Its totient is φ = 93807673344.

The previous prime is 290023197493. The next prime is 290023197521. The reversal of 290023197520 is 25791320092.

It is a super-2 number, since 2×2900231975202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290023197521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473120734 + ... + 473121346.

It is an arithmetic number, because the mean of its divisors is an integer number (2547662832).

Almost surely, 2290023197520 is an apocalyptic number.

290023197520 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 290023197520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407626053120).

290023197520 is an abundant number, since it is smaller than the sum of its proper divisors (525228908720).

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

290023197520 is a wasteful number, since it uses less digits than its factorization.

290023197520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 290023197520 in words is "two hundred ninety billion, twenty-three million, one hundred ninety-seven thousand, five hundred twenty".