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212468080 = 24511241441
BaseRepresentation
bin11001010101000…
…00000101110000
3112210210111102011
430222200011300
5413342434310
633025532304
75156643316
oct1452400560
9483714364
10212468080
11a9a29460
125b1a4094
1335031376
142030a0b6
15139bd78a
hexcaa0170

212468080 has 40 divisors (see below), whose sum is σ = 538898544. Its totient is φ = 77260800.

The previous prime is 212468041. The next prime is 212468093. The reversal of 212468080 is 80864212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119841 + ... + 121600.

Almost surely, 2212468080 is an apocalyptic number.

212468080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212468080 is an abundant number, since it is smaller than the sum of its proper divisors (326430464).

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

212468080 is a wasteful number, since it uses less digits than its factorization.

212468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241465 (or 241459 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 212468080 is about 14576.2848490279. The cubic root of 212468080 is about 596.7117152647.

The spelling of 212468080 in words is "two hundred twelve million, four hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 241441 482882 965764 1207205 1931528 2414410 2655851 3863056 4828820 5311702 9657640 10623404 13279255 19315280 21246808 26558510 42493616 53117020 106234040 212468080