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216151540 = 225114373313
BaseRepresentation
bin11001110001000…
…11010111110100
3120001201122011121
430320203113310
5420313322130
633240513324
75233154263
oct1470432764
9501648147
10216151540
11101014940
126047b844
1335a20b27
14209c85da
1513e99d7a
hexce235f4

216151540 has 96 divisors (see below), whose sum is σ = 515281536. Its totient is φ = 75479040.

The previous prime is 216151519. The next prime is 216151567. The reversal of 216151540 is 45151612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690424 + ... + 690736.

It is an arithmetic number, because the mean of its divisors is an integer number (5367516).

Almost surely, 2216151540 is an apocalyptic number.

216151540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216151540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257640768).

216151540 is an abundant number, since it is smaller than the sum of its proper divisors (299129996).

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

216151540 is a wasteful number, since it uses less digits than its factorization.

216151540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 216151540 is about 14702.0930482704. The cubic root of 216151540 is about 600.1402820139.

The spelling of 216151540 in words is "two hundred sixteen million, one hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 73 86 110 146 172 215 220 292 313 365 430 473 626 730 803 860 946 1252 1460 1565 1606 1892 2365 3130 3139 3212 3443 4015 4730 6260 6278 6886 8030 9460 12556 13459 13772 15695 16060 17215 22849 26918 31390 34430 34529 45698 53836 62780 67295 68860 69058 91396 114245 134590 138116 148049 172645 228490 251339 269180 296098 345290 456980 502678 592196 690580 740245 982507 1005356 1256695 1480490 1965014 2513390 2960980 3930028 4912535 5026780 9825070 10807577 19650140 21615154 43230308 54037885 108075770 216151540