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2214601158 = 2372112332939
BaseRepresentation
bin1000010000000000…
…0010000111000110
312201100011101200010
42010000002013012
514013414214113
61003430331050
7105610541100
oct20400020706
95640141603
102214601158
11a370a26a0
125197b9a86
13293a745b3
1417019c570
15ce6531c3
hex840021c6

2214601158 has 96 divisors (see below), whose sum is σ = 5646775680. Its totient is φ = 572557440.

The previous prime is 2214601121. The next prime is 2214601163. The reversal of 2214601158 is 8511064122.

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 47 ways as a sum of consecutive naturals, for example, 752053 + ... + 754991.

It is an arithmetic number, because the mean of its divisors is an integer number (58820580).

Almost surely, 22214601158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214601158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823387840).

2214601158 is an abundant number, since it is smaller than the sum of its proper divisors (3432174522).

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

2214601158 is a wasteful number, since it uses less digits than its factorization.

2214601158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2214601158 is about 47059.5490628629. The cubic root of 2214601158 is about 1303.4623989128.

The spelling of 2214601158 in words is "two billion, two hundred fourteen million, six hundred one thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 233 294 462 466 539 699 1078 1398 1617 1631 2563 2939 3234 3262 4893 5126 5878 7689 8817 9786 11417 15378 17634 17941 20573 22834 32329 34251 35882 41146 53823 61719 64658 68502 96987 107646 123438 125587 144011 193974 226303 251174 288022 376761 432033 452606 678909 684787 753522 864066 1357818 1369574 1584121 2054361 3168242 4108722 4752363 4793509 7532657 9504726 9587018 14380527 15065314 22597971 28761054 33554563 45195942 52728599 67109126 100663689 105457198 158185797 201327378 316371594 369100193 738200386 1107300579 2214601158