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228614034496 = 2659210132
BaseRepresentation
bin1101010011101001110…
…1010101010001000000
3210212002111122020121211
43110322131111101000
512221200143100441
6253005052055504
722342161142051
oct3247235252100
9725074566554
10228614034496
1188a557318a1
1238382464594
131873450a833
14b0ca42c728
155e3057ba81
hex353a755440

228614034496 has 63 divisors (see below), whose sum is σ = 461931385381. Its totient is φ = 112258682624.

The previous prime is 228614034461. The next prime is 228614034541. The reversal of 228614034496 is 694430416822.

The square root of 228614034496 is 478136.

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

It can be written as a sum of positive squares in only one way, i.e., 451137600 + 228162896896 = 21240^2 + 477664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 225679686 + ... + 225680698.

Almost surely, 2228614034496 is an apocalyptic number.

228614034496 is the 478136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228614034496

228614034496 is an abundant number, since it is smaller than the sum of its proper divisors (233317350885).

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

228614034496 is an frugal number, since it uses more digits than its factorization.

228614034496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 228614034496 by its sum of digits (49), we get a square (11202087690304 = 33469522).

The spelling of 228614034496 in words is "two hundred twenty-eight billion, six hundred fourteen million, thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 1013 1888 2026 3481 3776 4052 6962 8104 13924 16208 27848 32416 55696 59767 64832 111392 119534 222784 239068 478136 956272 1026169 1912544 2052338 3526253 3825088 4104676 7052506 8209352 14105012 16418704 28210024 32837408 56420048 60543971 65674816 112840096 121087942 225680192 242175884 484351768 968703536 1937407072 3572094289 3874814144 7144188578 14288377156 28576754312 57153508624 114307017248 228614034496