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234364566420 = 22325191035211277
BaseRepresentation
bin1101101001000100110…
…1110111101110010100
3211101221021021112102200
43122101031313232110
512314434312111140
6255355434004500
722634525642205
oct3322115675624
9741837245380
10234364566420
1190436762616
1239508276730
131913c9bc04a
14b4b405d5ac
15616a338030
hex3691377b94

234364566420 has 288 divisors, whose sum is σ = 757630298880. Its totient is φ = 58474690560.

The previous prime is 234364566419. The next prime is 234364566421. The reversal of 234364566420 is 24665463432.

234364566420 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 64 + 566 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (234364566419) and next prime (234364566421).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234364566421) 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, 183526822 + ... + 183528098.

It is an arithmetic number, because the mean of its divisors is an integer number (2630660760).

Almost surely, 2234364566420 is an apocalyptic number.

234364566420 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 234364566420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378815149440).

234364566420 is an abundant number, since it is smaller than the sum of its proper divisors (523265732460).

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

234364566420 is a wasteful number, since it uses less digits than its factorization.

234364566420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 234364566420 in words is "two hundred thirty-four billion, three hundred sixty-four million, five hundred sixty-six thousand, four hundred twenty".