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1422186864 = 243731313523
BaseRepresentation
bin101010011000100…
…1101100101110000
310200010002120121120
41110301031211300
510403034434424
6353042222240
750146250250
oct12461154560
93603076546
101422186864
1166a87304a
12338354980
131988493b7
14d6c49960
1584cc8a79
hex54c4d970

1422186864 has 80 divisors (see below), whose sum is σ = 4212563712. Its totient is φ = 405010944.

The previous prime is 1422186827. The next prime is 1422186869. The reversal of 1422186864 is 4686812241.

It is a super-2 number, since 2×14221868642 = 4045230952268308992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422186869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98407 + ... + 111929.

Almost surely, 21422186864 is an apocalyptic number.

1422186864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422186864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106281856).

1422186864 is an abundant number, since it is smaller than the sum of its proper divisors (2790376848).

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

1422186864 is a wasteful number, since it uses less digits than its factorization.

1422186864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13854 (or 13848 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 1422186864 is about 37711.8928721431. The cubic root of 1422186864 is about 1124.5675675294.

The spelling of 1422186864 in words is "one billion, four hundred twenty-two million, one hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 313 336 626 939 1252 1878 2191 2504 3756 4382 5008 6573 7512 8764 13146 13523 15024 17528 26292 27046 35056 40569 52584 54092 81138 94661 105168 108184 162276 189322 216368 283983 324552 378644 567966 649104 757288 1135932 1514576 2271864 4232699 4543728 8465398 12698097 16930796 25396194 29628893 33861592 50792388 59257786 67723184 88886679 101584776 118515572 177773358 203169552 237031144 355546716 474062288 711093432 1422186864