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2214384840 = 233256791807
BaseRepresentation
bin1000001111111100…
…1101010011001000
312201022202101221100
42003333031103020
514013340303330
61003421541400
7105605650323
oct20377152310
95638671840
102214384840
11a36a65118
12519714860
132939c9cb5
141701437ba
15ce60e060
hex83fcd4c8

2214384840 has 96 divisors (see below), whose sum is σ = 7304244480. Its totient is φ = 581682816.

The previous prime is 2214384833. The next prime is 2214384853. The reversal of 2214384840 is 484834122.

2214384840 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2214384795 and 2214384804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21784 + ... + 70023.

It is an arithmetic number, because the mean of its divisors is an integer number (76085880).

Almost surely, 22214384840 is an apocalyptic number.

2214384840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214384840 is an abundant number, since it is smaller than the sum of its proper divisors (5089859640).

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

2214384840 is a wasteful number, since it uses less digits than its factorization.

2214384840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91891 (or 91884 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2214384840 is about 47057.2506634206. The cubic root of 2214384840 is about 1303.4199576272.

The spelling of 2214384840 in words is "two billion, two hundred fourteen million, three hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 6030 8040 12060 24120 91807 183614 275421 367228 459035 550842 734456 826263 918070 1101684 1377105 1652526 1836140 2203368 2754210 3305052 3672280 4131315 5508420 6151069 6610104 8262630 11016840 12302138 16525260 18453207 24604276 30755345 33050520 36906414 49208552 55359621 61510690 73812828 92266035 110719242 123021380 147625656 184532070 221438484 246042760 276798105 369064140 442876968 553596210 738128280 1107192420 2214384840