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215212320 = 253251031451
BaseRepresentation
bin11001101001111…
…10000100100000
3112222221220210200
430310332010200
5420043243240
633204425200
75222163111
oct1464760440
9488856720
10215212320
11100533224
12600a8200
133578248b
1420822208
1513d61930
hexcd3e120

215212320 has 144 divisors (see below), whose sum is σ = 742053312. Its totient is φ = 56793600.

The previous prime is 215212279. The next prime is 215212337. The reversal of 215212320 is 23212512.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 215212293 and 215212302.

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, 147595 + ... + 149045.

It is an arithmetic number, because the mean of its divisors is an integer number (5153148).

Almost surely, 2215212320 is an apocalyptic number.

215212320 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 215212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371026656).

215212320 is an abundant number, since it is smaller than the sum of its proper divisors (526840992).

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

215212320 is a wasteful number, since it uses less digits than its factorization.

215212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 215212320 is about 14670.1165639541. The cubic root of 215212320 is about 599.2697783210.

Adding to 215212320 its reverse (23212512), we get a palindrome (238424832).

The spelling of 215212320 in words is "two hundred fifteen million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 103 120 144 160 180 206 240 288 309 360 412 480 515 618 720 824 927 1030 1236 1440 1451 1545 1648 1854 2060 2472 2902 3090 3296 3708 4120 4353 4635 4944 5804 6180 7255 7416 8240 8706 9270 9888 11608 12360 13059 14510 14832 16480 17412 18540 21765 23216 24720 26118 29020 29664 34824 37080 43530 46432 49440 52236 58040 65295 69648 74160 87060 104472 116080 130590 139296 148320 149453 174120 208944 232160 261180 298906 348240 417888 448359 522360 597812 696480 747265 896718 1044720 1195624 1345077 1494530 1793436 2089440 2241795 2391248 2690154 2989060 3586872 4483590 4782496 5380308 5978120 6725385 7173744 8967180 10760616 11956240 13450770 14347488 17934360 21521232 23912480 26901540 35868720 43042464 53803080 71737440 107606160 215212320