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212020023294 = 232295324131799
BaseRepresentation
bin1100010101110101100…
…0001100111111111110
3202021021001002010122100
43011131120030333332
511433204111221134
6241222312525530
721214024314462
oct3053530147776
9667231063570
10212020023294
1181a0a859652
12351110b08a6
1316cbb6748b1
14a3946324a2
1557ad84c999
hex315d60cffe

212020023294 has 96 divisors (see below), whose sum is σ = 486208008000. Its totient is φ = 66668958720.

The previous prime is 212020023283. The next prime is 212020023301. The reversal of 212020023294 is 492320020212.

It is a super-2 number, since 2×2120200232942 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6651607 + ... + 6683405.

It is an arithmetic number, because the mean of its divisors is an integer number (5064666750).

Almost surely, 2212020023294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020023294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243104004000).

212020023294 is an abundant number, since it is smaller than the sum of its proper divisors (274187984706).

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

212020023294 is a wasteful number, since it uses less digits than its factorization.

212020023294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32130 (or 32127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 212020023294 in words is "two hundred twelve billion, twenty million, twenty-three thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 159 174 241 261 318 477 482 522 723 954 1446 1537 2169 3074 4338 4611 6989 9222 12773 13833 13978 20967 25546 27666 31799 38319 41934 62901 63598 76638 95397 114957 125802 190794 229914 286191 370417 572382 740834 922171 1111251 1685347 1844342 2222502 2766513 3333753 3370694 5056041 5533026 6667506 7663559 8299539 10112082 15168123 15327118 16599078 22990677 30336246 45981354 48875063 68972031 97750126 137944062 146625189 222243211 293250378 406168627 439875567 444486422 666729633 812337254 879751134 1218505881 1333459266 2000188899 2437011762 3655517643 4000377798 7311035286 11778890183 23557780366 35336670549 70673341098 106010011647 212020023294