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22142442300 = 223521119353149
BaseRepresentation
bin10100100111110010…
…101101101100111100
32010011010220121120120
4110213302231230330
5330321431123200
614101101214540
71412465440236
oct244762555474
963133817516
1022142442300
1194329166a0
12435b561450
13211b505b84
141100a5d256
15898db89a0
hex527cadb3c

22142442300 has 144 divisors (see below), whose sum is σ = 73568208000. Its totient is φ = 5085331200.

The previous prime is 22142442299. The next prime is 22142442313. The reversal of 22142442300 is 324424122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113875 + ... + 239274.

Almost surely, 222142442300 is an apocalyptic number.

22142442300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142442300 is an abundant number, since it is smaller than the sum of its proper divisors (51425765700).

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

22142442300 is a wasteful number, since it uses less digits than its factorization.

22142442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353196 (or 353189 counting only the distinct ones).

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

Adding to 22142442300 its reverse (324424122), we get a palindrome (22466866422).

The spelling of 22142442300 in words is "twenty-two billion, one hundred forty-two million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 353149 706298 1059447 1412596 1765745 2118894 3531490 3884639 4237788 5297235 6709831 7062980 7769278 8828725 10594470 11653917 13419662 15538556 17657450 19423195 20129493 21188940 23307834 26486175 26839324 33549155 35314900 38846390 40258986 46615668 52972350 58269585 67098310 73808141 77692780 80517972 97115975 100647465 105944700 116539170 134196620 147616282 167745775 194231950 201294930 221424423 233078340 291347925 295232564 335491550 369040705 388463900 402589860 442848846 503237325 582695850 670983100 738081410 885697692 1006474650 1107122115 1165391700 1476162820 1845203525 2012949300 2214244230 3690407050 4428488460 5535610575 7380814100 11071221150 22142442300