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214235163520 = 2757223721377
BaseRepresentation
bin1100011110000101101…
…0010010101110000000
3202110222102020220202221
43013201122102232000
512002223200213040
6242230203020424
721322642562320
oct3074132225600
9673872226687
10214235163520
118294718a254
123562ab0a714
1317282577661
14a5248d1280
15588d05a74a
hex31e1692b80

214235163520 has 128 divisors (see below), whose sum is σ = 585610119360. Its totient is φ = 73415786496.

The previous prime is 214235163487. The next prime is 214235163547. The reversal of 214235163520 is 25361532412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2142351635202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10011072 + ... + 10032448.

Almost surely, 2214235163520 is an apocalyptic number.

214235163520 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 214235163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292805059680).

214235163520 is an abundant number, since it is smaller than the sum of its proper divisors (371374955840).

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

214235163520 is a wasteful number, since it uses less digits than its factorization.

214235163520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23640 (or 23628 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 214235163520 its reverse (25361532412), we get a palindrome (239596695932).

The spelling of 214235163520 in words is "two hundred fourteen billion, two hundred thirty-five million, one hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2237 2240 4474 4480 8948 11185 15659 17896 21377 22370 31318 35792 42754 44740 62636 71584 78295 85508 89480 106885 125272 143168 149639 156590 171016 178960 213770 250544 286336 299278 313180 342032 357920 427540 501088 598556 626360 684064 715840 748195 855080 1002176 1197112 1252720 1368128 1431680 1496390 1710160 2004352 2394224 2505440 2736256 2992780 3420320 4788448 5010880 5985560 6840640 9576896 10021760 11971120 13681280 19153792 23942240 47820349 47884480 95640698 95768960 191281396 239101745 334742443 382562792 478203490 669484886 765125584 956406980 1338969772 1530251168 1673712215 1912813960 2677939544 3060502336 3347424430 3825627920 5355879088 6121004672 6694848860 7651255840 10711758176 13389697720 15302511680 21423516352 26779395440 30605023360 42847032704 53558790880 107117581760 214235163520