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216387780 = 223574431163
BaseRepresentation
bin11001110010111…
…01000011000100
3120002011122020020
430321131003010
5420343402110
633245535140
75235160110
oct1471350304
9502148206
10216387780
11101166384
12605744b0
1335aa450b
1420a4a740
1513ee4d70
hexce5d0c4

216387780 has 96 divisors (see below), whose sum is σ = 694600704. Its totient is φ = 49305984.

The previous prime is 216387779. The next prime is 216387797. The reversal of 216387780 is 87783612.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185479 + ... + 186641.

It is an arithmetic number, because the mean of its divisors is an integer number (7235424).

Almost surely, 2216387780 is an apocalyptic number.

216387780 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 216387780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347300352).

216387780 is an abundant number, since it is smaller than the sum of its proper divisors (478212924).

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

216387780 is a wasteful number, since it uses less digits than its factorization.

216387780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 216387780 is about 14710.1250844444. The cubic root of 216387780 is about 600.3588409015.

The spelling of 216387780 in words is "two hundred sixteen million, three hundred eighty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 443 886 1163 1329 1772 2215 2326 2658 3101 3489 4430 4652 5316 5815 6202 6645 6978 8141 8860 9303 11630 12404 13290 13956 15505 16282 17445 18606 23260 24423 26580 31010 32564 34890 37212 40705 46515 48846 62020 69780 81410 93030 97692 122115 162820 186060 244230 488460 515209 1030418 1545627 2060836 2576045 3091254 3606463 5152090 6182508 7212926 7728135 10304180 10819389 14425852 15456270 18032315 21638778 30912540 36064630 43277556 54096945 72129260 108193890 216387780