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213655088820 = 223537157161261
BaseRepresentation
bin1100011011111011010…
…1011110111010110100
3202102110222202001212210
43012332311132322310
512000031200320240
6242052442013420
721302400201405
oct3067665367264
9672428661783
10213655088820
1182679800578
12354a87a7270
13171bc3371a4
14a4ab8539ac
155857176780
hex31bed5eeb4

213655088820 has 96 divisors (see below), whose sum is σ = 614803867776. Its totient is φ = 55398643200.

The previous prime is 213655088789. The next prime is 213655088831. The reversal of 213655088820 is 28880556312.

It is a self number, because there is not a number n which added to its sum of digits gives 213655088820.

It is a congruent number.

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, 3456990 + ... + 3518250.

It is an arithmetic number, because the mean of its divisors is an integer number (6404206956).

Almost surely, 2213655088820 is an apocalyptic number.

213655088820 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 213655088820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307401933888).

213655088820 is an abundant number, since it is smaller than the sum of its proper divisors (401148778956).

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

213655088820 is a wasteful number, since it uses less digits than its factorization.

213655088820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62881 (or 62879 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 213655088820 in words is "two hundred thirteen billion, six hundred fifty-five million, eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1571 2220 3142 4713 6284 7855 9426 15710 18852 23565 31420 47130 58127 61261 94260 116254 122522 174381 183783 232508 245044 290635 306305 348762 367566 581270 612610 697524 735132 871905 918915 1162540 1225220 1743810 1837830 2266657 3487620 3675660 4533314 6799971 9066628 11333285 13599942 22666570 27199884 33999855 45333140 67999710 96241031 135999420 192482062 288723093 384964124 481205155 577446186 962410310 1154892372 1443615465 1924820620 2887230930 3560918147 5774461860 7121836294 10682754441 14243672588 17804590735 21365508882 35609181470 42731017764 53413772205 71218362940 106827544410 213655088820