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2266142432 = 251712793257
BaseRepresentation
bin1000011100010010…
…1001011011100000
312211221010222000012
42013010221123200
514120113024212
61012511144052
7110104615151
oct20704513340
95757128005
102266142432
11a631a6394
12532b15028
132a164c3a8
14176d77928
15d3e34922
hex871296e0

2266142432 has 48 divisors (see below), whose sum is σ = 4729052160. Its totient is φ = 1065259008.

The previous prime is 2266142399. The next prime is 2266142467. The reversal of 2266142432 is 2342416622.

It is a happy number.

It is a super-2 number, since 2×22661424322 = 10270803044221749248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 694148 + ... + 697404.

It is an arithmetic number, because the mean of its divisors is an integer number (98521920).

Almost surely, 22266142432 is an apocalyptic number.

It is an amenable number.

2266142432 is an abundant number, since it is smaller than the sum of its proper divisors (2462909728).

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

2266142432 is a wasteful number, since it uses less digits than its factorization.

2266142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4555 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 2266142432 is about 47604.0169733606. The cubic root of 2266142432 is about 1313.4969467002.

The spelling of 2266142432 in words is "two billion, two hundred sixty-six million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1279 2558 3257 5116 6514 10232 13028 20464 21743 26056 40928 43486 52112 55369 86972 104224 110738 173944 221476 347888 442952 695776 885904 1771808 4165703 8331406 16662812 33325624 66651248 70816951 133302496 141633902 283267804 566535608 1133071216 2266142432