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235690830400 = 26525322292
BaseRepresentation
bin1101101110000001000…
…1001010101001000000
3211112100200212201120211
43123200101022221000
512330143323033100
6300135212243504
723012432001064
oct3334021125100
9745320781524
10235690830400
1190a57369353
1239818470594
13192c16c162c
14b59c259aa4
1561e69b51ba
hex36e044aa40

235690830400 has 189 divisors, whose sum is σ = 593688076401. Its totient is φ = 92093614080.

The previous prime is 235690830379. The next prime is 235690830433. The reversal of 235690830400 is 4038096532.

The square root of 235690830400 is 485480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 7405635136 + 228285195264 = 86056^2 + 477792^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1029217486 + ... + 1029217714.

Almost surely, 2235690830400 is an apocalyptic number.

235690830400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

235690830400 is the 485480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235690830400

235690830400 is an abundant number, since it is smaller than the sum of its proper divisors (357997246001).

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

235690830400 is an frugal number, since it uses more digits than its factorization.

235690830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 235690830400 in words is "two hundred thirty-five billion, six hundred ninety million, eight hundred thirty thousand, four hundred".