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2260224660 = 2235103336467
BaseRepresentation
bin1000011010111000…
…0100101010010100
312211112000022100110
42012232010222110
514112104142120
61012140243020
7110003410161
oct20656045224
95745008313
102260224660
11a5a924271
12530b40470
132a0359955
14176277068
15d36662e0
hex86b84a94

2260224660 has 48 divisors (see below), whose sum is σ = 6334929216. Its totient is φ = 602126592.

The previous prime is 2260224623. The next prime is 2260224683. The reversal of 2260224660 is 664220622.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43747 + ... + 80213.

It is an arithmetic number, because the mean of its divisors is an integer number (131977692).

Almost surely, 22260224660 is an apocalyptic number.

2260224660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260224660 is an abundant number, since it is smaller than the sum of its proper divisors (4074704556).

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

2260224660 is a wasteful number, since it uses less digits than its factorization.

2260224660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37512 (or 37510 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2260224660 is about 47541.8201166089. The cubic root of 2260224660 is about 1312.3526009528.

The spelling of 2260224660 in words is "two billion, two hundred sixty million, two hundred twenty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1033 2066 3099 4132 5165 6198 10330 12396 15495 20660 30990 36467 61980 72934 109401 145868 182335 218802 364670 437604 547005 729340 1094010 2188020 37670411 75340822 113011233 150681644 188352055 226022466 376704110 452044932 565056165 753408220 1130112330 2260224660