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1422369216 = 263219912409
BaseRepresentation
bin101010011000111…
…1010000111000000
310200010102211202100
41110301322013000
510403111303331
6353050150400
750150640012
oct12461720700
93603384670
101422369216
1166a988054
12338422400
131988b13b8
14d6c961b2
1584d12ae6
hex54c7a1c0

1422369216 has 84 divisors (see below), whose sum is σ = 4097782000. Its totient is φ = 471702528.

The previous prime is 1422369211. The next prime is 1422369229. The reversal of 1422369216 is 6129632241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (1422369211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 108420 + ... + 120828.

Almost surely, 21422369216 is an apocalyptic number.

1422369216 is a gapful number since it is divisible by the number (16) 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 1422369216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048891000).

1422369216 is an abundant number, since it is smaller than the sum of its proper divisors (2675412784).

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

1422369216 is a wasteful number, since it uses less digits than its factorization.

1422369216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12626 (or 12613 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1422369216 is about 37714.3104934984. The cubic root of 1422369216 is about 1124.6156292824.

The spelling of 1422369216 in words is "one billion, four hundred twenty-two million, three hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 199 288 398 576 597 796 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 12409 12736 14328 19104 24818 28656 37227 38208 49636 57312 74454 99272 111681 114624 148908 198544 223362 297816 397088 446724 595632 794176 893448 1191264 1786896 2382528 2469391 3573792 4938782 7147584 7408173 9877564 14816346 19755128 22224519 29632692 39510256 44449038 59265384 79020512 88898076 118530768 158041024 177796152 237061536 355592304 474123072 711184608 1422369216