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199823304256 = 267127872
BaseRepresentation
bin1011101000011001100…
…1011010011001000000
3201002210000210121111121
42322012121122121000
511233214231214011
6231444134522024
720302544030032
oct2720631323100
9632700717447
10199823304256
1177821056064
1232888506314
1315ac6834294
149958847c52
1552e7bbee71
hex2e8665a640

199823304256 has 63 divisors (see below), whose sum is σ = 402699568107. Its totient is φ = 98379281280.

The previous prime is 199823304229. The next prime is 199823304277. The reversal of 199823304256 is 652403328991.

The square root of 199823304256 is 447016.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 253904695 + ... + 253905481.

Almost surely, 2199823304256 is an apocalyptic number.

199823304256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199823304256 is the 447016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199823304256

199823304256 is an abundant number, since it is smaller than the sum of its proper divisors (202876263851).

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

199823304256 is an frugal number, since it uses more digits than its factorization.

199823304256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 199823304256 in words is "one hundred ninety-nine billion, eight hundred twenty-three million, three hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 787 1136 1574 2272 3148 4544 5041 6296 10082 12592 20164 25184 40328 50368 55877 80656 111754 161312 223508 322624 447016 619369 894032 1238738 1788064 2477476 3576128 3967267 4954952 7934534 9909904 15869068 19819808 31738136 39639616 43975199 63476272 87950398 126952544 175900796 253905088 351801592 703603184 1407206368 2814412736 3122239129 6244478258 12488956516 24977913032 49955826064 99911652128 199823304256