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215314240460 = 225113167471209
BaseRepresentation
bin1100100010000110111…
…0101001001111001100
3202120202121201201001112
43020201232221033030
512011430421143320
6242525231231152
721361454563244
oct3104156511714
9676677651045
10215314240460
1183350303780
12358903784b8
13173c4cb0a17
14a5c7d44b24
155902b5bec5
hex3221ba93cc

215314240460 has 96 divisors (see below), whose sum is σ = 516777891840. Its totient is φ = 74639347200.

The previous prime is 215314240387. The next prime is 215314240487. The reversal of 215314240460 is 64042413512.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221336 + ... + 692544.

It is an arithmetic number, because the mean of its divisors is an integer number (5383103040).

Almost surely, 2215314240460 is an apocalyptic number.

215314240460 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 215314240460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258388945920).

215314240460 is an abundant number, since it is smaller than the sum of its proper divisors (301463651380).

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

215314240460 is a wasteful number, since it uses less digits than its factorization.

215314240460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471327 (or 471325 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 215314240460 its reverse (64042413512), we get a palindrome (279356653972).

The spelling of 215314240460 in words is "two hundred fifteen billion, three hundred fourteen million, two hundred forty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 67 110 124 134 155 220 268 310 335 341 620 670 682 737 1340 1364 1474 1705 2077 2948 3410 3685 4154 6820 7370 8308 10385 14740 20770 22847 41540 45694 91388 114235 228470 456940 471209 942418 1884836 2356045 4712090 5183299 9424180 10366598 14607479 20733196 25916495 29214958 31571003 51832990 58429916 63142006 73037395 103665980 126284012 146074790 157855015 160682269 292149580 315710030 321364538 347281033 631420060 642729076 694562066 803411345 978701093 1389124132 1606822690 1736405165 1957402186 3213645380 3472810330 3914804372 4893505465 6945620660 9787010930 10765712023 19574021860 21531424046 43062848092 53828560115 107657120230 215314240460