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200142220404 = 22372986395203
BaseRepresentation
bin1011101001100101100…
…1111110110001110100
3201010121020220020012210
42322121121332301310
511234342402023104
6231535530213420
720313465542520
oct2723131766164
9633536806183
10200142220404
117797507a525
1232957284270
1315b47926069
149988d42d80
155315bb8989
hex2e9967ec74

200142220404 has 96 divisors (see below), whose sum is σ = 552762040320. Its totient is φ = 55147091328.

The previous prime is 200142220393. The next prime is 200142220459. The reversal of 200142220404 is 404022241002.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2054667 + ... + 2149869.

It is an arithmetic number, because the mean of its divisors is an integer number (5757937920).

Almost surely, 2200142220404 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 200142220404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276381020160).

200142220404 is an abundant number, since it is smaller than the sum of its proper divisors (352619819916).

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

200142220404 is a wasteful number, since it uses less digits than its factorization.

200142220404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96109 (or 96107 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 200142220404 its reverse (404022241002), we get a palindrome (604164461406).

The spelling of 200142220404 in words is "two hundred billion, one hundred forty-two million, two hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 863 1218 1726 2436 2589 3452 5178 6041 10356 12082 18123 24164 25027 36246 50054 72492 75081 95203 100108 150162 175189 190406 285609 300324 350378 380812 525567 571218 666421 700756 1051134 1142436 1332842 1999263 2102268 2665684 2760887 3998526 5521774 7997052 8282661 11043548 16565322 19326209 33130644 38652418 57978627 77304836 82160189 115957254 164320378 231914508 246480567 328640756 492961134 575121323 985922268 1150242646 1725363969 2300485292 2382645481 3450727938 4765290962 6901455876 7147936443 9530581924 14295872886 16678518367 28591745772 33357036734 50035555101 66714073468 100071110202 200142220404