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225164118672 = 24321982296827
BaseRepresentation
bin1101000110110011010…
…0111100101010010000
3210112012002000100210200
43101230310330222100
512142114003244142
6251234452255200
722160530300323
oct3215464745220
9715162010720
10225164118672
1187545302a99
123777b011500
1318304858a1c
14ac8018a7ba
155ccc76464c
hex346cd3ca90

225164118672 has 60 divisors (see below), whose sum is σ = 663312433680. Its totient is φ = 71104457664.

The previous prime is 225164118671. The next prime is 225164118713. The reversal of 225164118672 is 276811461522.

225164118672 is a `hidden beast` number, since 22 + 516 + 41 + 1 + 8 + 6 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (225164118671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41145678 + ... + 41151149.

It is an arithmetic number, because the mean of its divisors is an integer number (11055207228).

Almost surely, 2225164118672 is an apocalyptic number.

It is an amenable number.

225164118672 is an abundant number, since it is smaller than the sum of its proper divisors (438148315008).

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

225164118672 is a wasteful number, since it uses less digits than its factorization.

225164118672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82296860 (or 82296851 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 225164118672 in words is "two hundred twenty-five billion, one hundred sixty-four million, one hundred eighteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 82296827 164593654 246890481 329187308 493780962 658374616 740671443 987561924 1316749232 1481342886 1563639713 1975123848 2962685772 3127279426 3950247696 4690919139 5925371544 6254558852 9381838278 11850743088 12509117704 14072757417 18763676556 25018235408 28145514834 37527353112 56291029668 75054706224 112582059336 225164118672