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215214211240 = 235747330697
BaseRepresentation
bin1100100001101111000…
…1000100000010101000
3202120111122111200202121
43020123301010002220
512011224314224430
6242511255241024
721356131420000
oct3103361040250
9676448450677
10215214211240
11832a98a22a6
1235862979174
13173aa359b32
14a5b8947000
1558e8e9da7a
hex321bc440a8

215214211240 has 160 divisors (see below), whose sum is σ = 572660752680. Its totient is φ = 72774567936.

The previous prime is 215214211207. The next prime is 215214211259. The reversal of 215214211240 is 42112412512.

It can be written as a sum of positive squares in 4 ways, for example, as 131692055236 + 83522156004 = 362894^2 + 289002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6995572 + ... + 7026268.

Almost surely, 2215214211240 is an apocalyptic number.

215214211240 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 215214211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286330376340).

215214211240 is an abundant number, since it is smaller than the sum of its proper divisors (357446541440).

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

215214211240 is an equidigital number, since it uses as much as digits as its factorization.

215214211240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30809 (or 30784 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 215214211240 its reverse (42112412512), we get a palindrome (257326623752).

The spelling of 215214211240 in words is "two hundred fifteen billion, two hundred fourteen million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 98 140 146 196 245 280 292 343 365 392 490 511 584 686 730 980 1022 1372 1460 1715 1960 2044 2401 2555 2744 2920 3430 3577 4088 4802 5110 6860 7154 9604 10220 12005 13720 14308 17885 19208 20440 24010 25039 28616 30697 35770 48020 50078 61394 71540 96040 100156 122788 125195 143080 153485 175273 200312 214879 245576 250390 306970 350546 429758 500780 613940 701092 859516 876365 1001560 1074395 1227880 1402184 1504153 1719032 1752730 2148790 2240881 3008306 3505460 4297580 4481762 6016612 7010920 7520765 8595160 8963524 10529071 11204405 12033224 15041530 15686167 17927048 21058142 22408810 30083060 31372334 42116284 44817620 52645355 60166120 62744668 73703497 78430835 84232568 89635240 105290710 109803169 125489336 147406994 156861670 210581420 219606338 294813988 313723340 368517485 421162840 439212676 549015845 589627976 627446680 737034970 768622183 878425352 1098031690 1474069940 1537244366 2196063380 2948139880 3074488732 3843110915 4392126760 5380355281 6148977464 7686221830 10760710562 15372443660 21521421124 26901776405 30744887320 43042842248 53803552810 107607105620 215214211240