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2022009984 = 27324340819
BaseRepresentation
bin111100010000101…
…0110110010000000
312012220202202020200
41320201112302000
513120113304414
6532350405200
7101051541561
oct17041266200
95186682220
102022009984
11948410035
12485200800
13262bb2617
14152788168
15bc7ae109
hex78856c80

2022009984 has 96 divisors (see below), whose sum is σ = 5954005200. Its totient is φ = 658312704.

The previous prime is 2022009973. The next prime is 2022010009. The reversal of 2022009984 is 4899002202.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29127 + ... + 69945.

Almost surely, 22022009984 is an apocalyptic number.

2022009984 is a gapful number since it is divisible by the number (24) 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 2022009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977002600).

2022009984 is an abundant number, since it is smaller than the sum of its proper divisors (3931995216).

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

2022009984 is a wasteful number, since it uses less digits than its factorization.

2022009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40882 (or 40867 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2022009984 is about 44966.7653272948. The cubic root of 2022009984 is about 1264.5260055057.

The spelling of 2022009984 in words is "two billion, twenty-two million, nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 4128 5504 6192 8256 12384 16512 24768 40819 49536 81638 122457 163276 244914 326552 367371 489828 653104 734742 979656 1306208 1469484 1755217 1959312 2612416 2938968 3510434 3918624 5224832 5265651 5877936 7020868 7837248 10531302 11755872 14041736 15674496 15796953 21062604 23511744 28083472 31593906 42125208 47023488 56166944 63187812 84250416 112333888 126375624 168500832 224667776 252751248 337001664 505502496 674003328 1011004992 2022009984