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216860070 = 23574189283
BaseRepresentation
bin11001110110100…
…00010110100110
3120010001122002110
430323100112212
5421004010240
633304021450
75242165050
oct1473202646
9503048073
10216860070
111014591a9
1260761886
1335c0b48b
1420b308d0
1514089c80
hexced05a6

216860070 has 128 divisors (see below), whose sum is σ = 618347520. Its totient is φ = 47646720.

The previous prime is 216860027. The next prime is 216860089. The reversal of 216860070 is 70068612.

It is a happy number.

216860070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766149 + ... + 766431.

It is an arithmetic number, because the mean of its divisors is an integer number (4830840).

Almost surely, 2216860070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216860070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309173760).

216860070 is an abundant number, since it is smaller than the sum of its proper divisors (401487450).

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

216860070 is a wasteful number, since it uses less digits than its factorization.

216860070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 216860070 is about 14726.1695630602. The cubic root of 216860070 is about 600.7953064581.

The spelling of 216860070 in words is "two hundred sixteen million, eight hundred sixty thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 89 105 123 178 205 210 246 267 283 287 410 445 534 566 574 615 623 849 861 890 1230 1246 1335 1415 1435 1698 1722 1869 1981 2670 2830 2870 3115 3649 3738 3962 4245 4305 5943 6230 7298 8490 8610 9345 9905 10947 11603 11886 18245 18690 19810 21894 23206 25187 25543 29715 34809 36490 50374 51086 54735 58015 59430 69618 75561 76629 81221 109470 116030 125935 127715 151122 153258 162442 174045 176309 243663 251870 255430 348090 352618 377805 383145 406105 487326 528927 755610 766290 812210 881545 1032667 1057854 1218315 1763090 2065334 2436630 2644635 3098001 5163335 5289270 6196002 7228669 10326670 14457338 15490005 21686007 30980010 36143345 43372014 72286690 108430035 216860070