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216156640 = 2557279349
BaseRepresentation
bin11001110001001…
…00100111100000
3120001201220011111
430320210213200
5420314003030
633240553104
75233205200
oct1470444740
9501656144
10216156640
11101018757
1260482794
1335a2324b
14209ca400
1513e9b62a
hexce249e0

216156640 has 144 divisors (see below), whose sum is σ = 603288000. Its totient is φ = 72963072.

The previous prime is 216156623. The next prime is 216156697. The reversal of 216156640 is 46651612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619186 + ... + 619534.

It is an arithmetic number, because the mean of its divisors is an integer number (4189500).

Almost surely, 2216156640 is an apocalyptic number.

216156640 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 216156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301644000).

216156640 is an abundant number, since it is smaller than the sum of its proper divisors (387131360).

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

216156640 is a wasteful number, since it uses less digits than its factorization.

216156640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 216156640 is about 14702.2664919393. The cubic root of 216156640 is about 600.1450019916.

The spelling of 216156640 in words is "two hundred sixteen million, one hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 79 80 98 112 140 158 160 196 224 245 280 316 349 392 395 490 553 560 632 698 784 790 980 1106 1120 1264 1396 1568 1580 1745 1960 2212 2443 2528 2765 2792 3160 3490 3871 3920 4424 4886 5530 5584 6320 6980 7742 7840 8848 9772 11060 11168 12215 12640 13960 15484 17101 17696 19355 19544 22120 24430 27571 27920 30968 34202 38710 39088 44240 48860 55142 55840 61936 68404 77420 78176 85505 88480 97720 110284 123872 136808 137855 154840 171010 192997 195440 220568 273616 275710 309680 342020 385994 390880 441136 547232 551420 619360 684040 771988 882272 964985 1102840 1350979 1368080 1543976 1929970 2205680 2701958 2736160 3087952 3859940 4411360 5403916 6175904 6754895 7719880 10807832 13509790 15439760 21615664 27019580 30879520 43231328 54039160 108078320 216156640