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285390216 = 23343114207
BaseRepresentation
bin10001000000101…
…011010110001000
3201220000022210000
4101000223112020
51041024441331
644152523000
710033530306
oct2100532610
9656008700
10285390216
11137105991
127b6b0460
1347183c67
1429c8d276
151a0c50e6
hex1102b588

285390216 has 80 divisors (see below), whose sum is σ = 825200640. Its totient is φ = 92054880.

The previous prime is 285390211. The next prime is 285390221. The reversal of 285390216 is 612093582.

It is an interprime number because it is at equal distance from previous prime (285390211) and next prime (285390221).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (285390211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12985 + ... + 27191.

It is an arithmetic number, because the mean of its divisors is an integer number (10315008).

Almost surely, 2285390216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285390216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412600320).

285390216 is an abundant number, since it is smaller than the sum of its proper divisors (539810424).

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

285390216 is a wasteful number, since it uses less digits than its factorization.

285390216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14256 (or 14243 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 285390216 is about 16893.4962633553. The cubic root of 285390216 is about 658.3846446716.

The spelling of 285390216 in words is "two hundred eighty-five million, three hundred ninety thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 10044 14207 20088 28414 42621 56828 85242 113656 127863 170484 255726 340968 383589 440417 511452 767178 880834 1022904 1150767 1321251 1534356 1761668 2301534 2642502 3068712 3523336 3963753 4603068 5285004 7927506 9206136 10570008 11891259 15855012 23782518 31710024 35673777 47565036 71347554 95130072 142695108 285390216