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83137604220 = 2232511192209931
BaseRepresentation
bin100110101101101100…
…0110010101001111100
321221121000001212211200
41031123120302221330
52330231211313340
6102105355215500
76002140655526
oct1153330625174
9257530055750
1083137604220
1132293012620
1214142747590
137abc198068
144049760a16
152268b94330
hex135b632a7c

83137604220 has 144 divisors (see below), whose sum is σ = 289589489280. Its totient is φ = 19093795200.

The previous prime is 83137604197. The next prime is 83137604227. The reversal of 83137604220 is 2240673138.

It is a happy number.

It is a super-2 number, since 2×831376042202 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83137604227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067346 + ... + 1142585.

It is an arithmetic number, because the mean of its divisors is an integer number (2011038120).

Almost surely, 283137604220 is an apocalyptic number.

It is an amenable number.

83137604220 is an abundant number, since it is smaller than the sum of its proper divisors (206451885060).

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

83137604220 is a wasteful number, since it uses less digits than its factorization.

83137604220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209976 (or 2209971 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 83137604220 in words is "eighty-three billion, one hundred thirty-seven million, six hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 2209931 4419862 6629793 8839724 11049655 13259586 19889379 22099310 24309241 26519172 33148965 39778758 41988689 44198620 48618482 66297930 72927723 79557516 83977378 97236964 99446895 121546205 125966067 132595860 145855446 167954756 198893790 209943445 218783169 243092410 251932134 291710892 364638615 377898201 397787580 419886890 437566338 461875579 486184820 503864268 629830335 729277230 755796402 839773780 875132676 923751158 1093915845 1259660670 1385626737 1458554460 1511592804 1847502316 1889491005 2187831690 2309377895 2519321340 2771253474 3778982010 4156880211 4375663380 4618755790 5542506948 6928133685 7557964020 8313760422 9237511580 13856267370 16627520844 20784401055 27712534740 41568802110 83137604220