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2226837460 = 225236772253
BaseRepresentation
bin1000010010111010…
…1101011111010100
312202012012001201111
42010232231133110
514030032244320
61004544504404
7106116543331
oct20456553724
95665161644
102226837460
11a42a9aa41
1252191b104
1329646a003
14171a65988
15d076da5a
hex84bad7d4

2226837460 has 48 divisors (see below), whose sum is σ = 4952578176. Its totient is φ = 839279232.

The previous prime is 2226837433. The next prime is 2226837523. The reversal of 2226837460 is 647386222.

It is a super-3 number, since 3×22268374603 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5307 + ... + 66946.

It is an arithmetic number, because the mean of its divisors is an integer number (103178712).

Almost surely, 22226837460 is an apocalyptic number.

2226837460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226837460 is an abundant number, since it is smaller than the sum of its proper divisors (2725740716).

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

2226837460 is a wasteful number, since it uses less digits than its factorization.

2226837460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72352 (or 72350 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 2226837460 is about 47189.3786778339. The cubic root of 2226837460 is about 1305.8586579494.

The spelling of 2226837460 in words is "two billion, two hundred twenty-six million, eight hundred thirty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 67 92 115 134 230 268 335 460 670 1340 1541 3082 6164 7705 15410 30820 72253 144506 289012 361265 722530 1445060 1661819 3323638 4840951 6647276 8309095 9681902 16618190 19363804 24204755 33236380 48409510 96819020 111341873 222683746 445367492 556709365 1113418730 2226837460