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480172212 = 223413114001
BaseRepresentation
bin11100100111101…
…101100010110100
31020110112021110000
4130213231202310
51440411002322
6115351431300
714620252662
oct3447554264
91213467400
10480172212
11227054543
12114985530
1378632190
1447ab3c32
152c24d3ac
hex1c9ed8b4

480172212 has 60 divisors (see below), whose sum is σ = 1351835716. Its totient is φ = 147744000.

The previous prime is 480172159. The next prime is 480172223. The reversal of 480172212 is 212271084.

480172212 is a `hidden beast` number, since 480 + 172 + 2 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198133776 + 282038436 = 14076^2 + 16794^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52789 + ... + 61212.

Almost surely, 2480172212 is an apocalyptic number.

It is an amenable number.

480172212 is an abundant number, since it is smaller than the sum of its proper divisors (871663504).

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

480172212 is a wasteful number, since it uses less digits than its factorization.

480172212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114030 (or 114019 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 480172212 is about 21912.8321309684. The cubic root of 480172212 is about 783.0671541470.

The spelling of 480172212 in words is "four hundred eighty million, one hundred seventy-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 114001 228002 342003 456004 684006 1026009 1368012 1482013 2052018 2964026 3078027 4104036 4446039 5928052 6156054 8892078 9234081 12312108 13338117 17784156 18468162 26676234 36936324 40014351 53352468 80028702 120043053 160057404 240086106 480172212