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216545010 = 235117389101
BaseRepresentation
bin11001110100000…
…11011011110010
3120002110121220120
430322003123302
5420413420020
633253151110
75236413363
oct1472033362
9502417816
10216545010
11101263520
126062b496
1335b2ac56
1420a8bb6a
1514026740
hexce836f2

216545010 has 128 divisors (see below), whose sum is σ = 586932480. Its totient is φ = 50688000.

The previous prime is 216544987. The next prime is 216545029. The reversal of 216545010 is 10545612.

216545010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

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, 2143960 + ... + 2144060.

It is an arithmetic number, because the mean of its divisors is an integer number (4585410).

Almost surely, 2216545010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216545010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293466240).

216545010 is an abundant number, since it is smaller than the sum of its proper divisors (370387470).

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

216545010 is a wasteful number, since it uses less digits than its factorization.

216545010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 216545010 is about 14715.4683921376. The cubic root of 216545010 is about 600.5042150488.

The spelling of 216545010 in words is "two hundred sixteen million, five hundred forty-five thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 89 101 110 146 165 178 202 219 267 303 330 365 438 445 505 534 606 730 803 890 979 1010 1095 1111 1335 1515 1606 1958 2190 2222 2409 2670 2937 3030 3333 4015 4818 4895 5555 5874 6497 6666 7373 8030 8989 9790 11110 12045 12994 14685 14746 16665 17978 19491 22119 24090 26967 29370 32485 33330 36865 38982 44238 44945 53934 64970 71467 73730 81103 89890 97455 98879 110595 134835 142934 162206 194910 197758 214401 221190 243309 269670 296637 357335 405515 428802 486618 494395 593274 656197 714670 811030 988790 1072005 1216545 1312394 1483185 1968591 2144010 2433090 2966370 3280985 3937182 6561970 7218167 9842955 14436334 19685910 21654501 36090835 43309002 72181670 108272505 216545010