Search a number
-
+
22279169024 = 210719116273
BaseRepresentation
bin10100101111111100…
…010010010000000000
32010111200012001101022
4110233330102100000
5331111431402044
614122423525012
71416045545360
oct245774222000
963450161338
1022279169024
1194a3012492
1243992b9768
132140938368
141114c909a0
158a5dc53ee
hex52ff12400

22279169024 has 88 divisors (see below), whose sum is σ = 51168580608. Its totient is φ = 9497640960.

The previous prime is 22279169021. The next prime is 22279169027. The reversal of 22279169024 is 42096197222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22279169021) and next prime (22279169027).

It is a super-2 number, since 2×222791690242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22279169021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1360952 + ... + 1377224.

Almost surely, 222279169024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22279169024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25584290304).

22279169024 is an abundant number, since it is smaller than the sum of its proper divisors (28889411584).

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

22279169024 is a wasteful number, since it uses less digits than its factorization.

22279169024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16491 (or 16473 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 22279169024 in words is "twenty-two billion, two hundred seventy-nine million, one hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 191 224 256 382 448 512 764 896 1024 1337 1528 1792 2674 3056 3584 5348 6112 7168 10696 12224 16273 21392 24448 32546 42784 48896 65092 85568 97792 113911 130184 171136 195584 227822 260368 342272 455644 520736 684544 911288 1041472 1369088 1822576 2082944 3108143 3645152 4165888 6216286 7290304 8331776 12432572 14580608 16663552 21757001 24865144 29161216 43514002 49730288 58322432 87028004 99460576 116644864 174056008 198921152 348112016 397842304 696224032 795684608 1392448064 1591369216 2784896128 3182738432 5569792256 11139584512 22279169024