Search a number
-
+
211204344320 = 295172285473
BaseRepresentation
bin1100010010110011000…
…0101000101000000000
3202012011012020100102222
43010230300220220000
511430021303004240
6241005334030212
721154561206614
oct3045460505000
9665135210388
10211204344320
11816313899a2
1234b23aa8368
1316bbb692308
14a318185344
155761e29eb5
hex312cc28a00

211204344320 has 120 divisors (see below), whose sum is σ = 537937499484. Its totient is φ = 79511945216.

The previous prime is 211204344313. The next prime is 211204344331. The reversal of 211204344320 is 23443402112.

It can be written as a sum of positive squares in 6 ways, for example, as 188550482176 + 22653862144 = 434224^2 + 150512^2 .

It is a super-2 number, since 2×2112043443202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211204344320.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 597104 + ... + 882576.

Almost surely, 2211204344320 is an apocalyptic number.

211204344320 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 211204344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268968749742).

211204344320 is an abundant number, since it is smaller than the sum of its proper divisors (326733155164).

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

211204344320 is an equidigital number, since it uses as much as digits as its factorization.

211204344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285530 (or 285497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 211204344320 its reverse (23443402112), we get a palindrome (234647746432).

The spelling of 211204344320 in words is "two hundred eleven billion, two hundred four million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 289 320 340 512 544 578 640 680 1088 1156 1280 1360 1445 2176 2312 2560 2720 2890 4352 4624 5440 5780 8704 9248 10880 11560 18496 21760 23120 36992 43520 46240 73984 92480 147968 184960 285473 369920 570946 739840 1141892 1427365 2283784 2854730 4567568 4853041 5709460 9135136 9706082 11418920 18270272 19412164 22837840 24265205 36540544 38824328 45675680 48530410 73081088 77648656 82501697 91351360 97060820 146162176 155297312 165003394 182702720 194121640 310594624 330006788 365405440 388243280 412508485 621189248 660013576 730810880 776486560 825016970 1242378496 1320027152 1552973120 1650033940 2484756992 2640054304 3105946240 3300067880 5280108608 6211892480 6600135760 10560217216 12423784960 13200271520 21120434432 26400543040 42240868864 52801086080 105602172160 211204344320