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2022640440 = 2335196114543
BaseRepresentation
bin111100010001111…
…0000101100111000
312012221221210001220
41320203300230320
513120243443230
6532412112040
7101060105622
oct17043605470
95187853056
102022640440
11948800777
12485465620
13263073582
141528adc12
15bc885d10
hex788f0b38

2022640440 has 128 divisors (see below), whose sum is σ = 6492441600. Its totient is φ = 502571520.

The previous prime is 2022640423. The next prime is 2022640453. The reversal of 2022640440 is 440462202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2022640440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131809 + ... + 146351.

It is an arithmetic number, because the mean of its divisors is an integer number (50722200).

Almost surely, 22022640440 is an apocalyptic number.

2022640440 is a gapful number since it is divisible by the number (20) 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 2022640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246220800).

2022640440 is an abundant number, since it is smaller than the sum of its proper divisors (4469801160).

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

2022640440 is a wasteful number, since it uses less digits than its factorization.

2022640440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14637 (or 14633 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2022640440 is about 44973.7750250076. The cubic root of 2022640440 is about 1264.6574168522.

The spelling of 2022640440 in words is "two billion, twenty-two million, six hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 61 76 95 114 120 122 152 183 190 228 244 285 305 366 380 456 488 570 610 732 760 915 1140 1159 1220 1464 1830 2280 2318 2440 3477 3660 4636 5795 6954 7320 9272 11590 13908 14543 17385 23180 27816 29086 34770 43629 46360 58172 69540 72715 87258 116344 139080 145430 174516 218145 276317 290860 349032 436290 552634 581720 828951 872580 887123 1105268 1381585 1657902 1745160 1774246 2210536 2661369 2763170 3315804 3548492 4144755 4435615 5322738 5526340 6631608 7096984 8289510 8871230 10645476 11052680 13306845 16579020 16855337 17742460 21290952 26613690 33158040 33710674 35484920 50566011 53227380 67421348 84276685 101132022 106454760 134842696 168553370 202264044 252830055 337106740 404528088 505660110 674213480 1011320220 2022640440