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216325020 = 223541471871
BaseRepresentation
bin11001110010011…
…01101110011100
3120002001110010210
430321031232130
5420334400040
633244332420
75234506122
oct1471155634
9502043123
10216325020
1110112320a
1260544110
1335a81a92
1420a31912
1513ed1480
hexce4db9c

216325020 has 96 divisors (see below), whose sum is σ = 634023936. Its totient is φ = 55052800.

The previous prime is 216325019. The next prime is 216325033. The reversal of 216325020 is 20523612.

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, 114685 + ... + 116555.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2216325020 is an apocalyptic number.

216325020 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 216325020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317011968).

216325020 is an abundant number, since it is smaller than the sum of its proper divisors (417698916).

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

216325020 is a wasteful number, since it uses less digits than its factorization.

216325020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 216325020 is about 14707.9917051921. The cubic root of 216325020 is about 600.3007936246.

Adding to 216325020 its reverse (20523612), we get a palindrome (236848632).

The spelling of 216325020 in words is "two hundred sixteen million, three hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 47 60 82 94 123 141 164 188 205 235 246 282 410 470 492 564 615 705 820 940 1230 1410 1871 1927 2460 2820 3742 3854 5613 5781 7484 7708 9355 9635 11226 11562 18710 19270 22452 23124 28065 28905 37420 38540 56130 57810 76711 87937 112260 115620 153422 175874 230133 263811 306844 351748 383555 439685 460266 527622 767110 879370 920532 1055244 1150665 1319055 1534220 1758740 2301330 2638110 3605417 4602660 5276220 7210834 10816251 14421668 18027085 21632502 36054170 43265004 54081255 72108340 108162510 216325020