Search a number
-
+
61222516300 = 225211196743721
BaseRepresentation
bin111001000001001001…
…010111011001001100
312212000200222001211201
4321001021113121030
52000340431010200
644043014555244
74265102542111
oct710111273114
9185020861751
1061222516300
1123a67572710
12ba47368b24
135a08b0620a
142d6ada4908
1518d4c39c6a
hexe4125764c

61222516300 has 144 divisors (see below), whose sum is σ = 154838839680. Its totient is φ = 20775744000.

The previous prime is 61222516291. The next prime is 61222516321. The reversal of 61222516300 is 361522216.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1378440 + ... + 1422160.

It is an arithmetic number, because the mean of its divisors is an integer number (1075269720).

Almost surely, 261222516300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61222516300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77419419840).

61222516300 is an abundant number, since it is smaller than the sum of its proper divisors (93616323380).

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

61222516300 is a wasteful number, since it uses less digits than its factorization.

61222516300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43832 (or 43825 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 61222516300 in words is "sixty-one billion, two hundred twenty-two million, five hundred sixteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 67 76 95 100 110 134 190 209 220 268 275 335 380 418 475 550 670 737 836 950 1045 1100 1273 1340 1474 1675 1900 2090 2546 2948 3350 3685 4180 5092 5225 6365 6700 7370 10450 12730 14003 14740 18425 20900 25460 28006 31825 36850 43721 56012 63650 70015 73700 87442 127300 140030 174884 218605 280060 350075 437210 480931 700150 830699 874420 961862 1093025 1400300 1661398 1923724 2186050 2404655 2929307 3322796 4153495 4372100 4809310 5858614 8306990 9137689 9618620 11717228 12023275 14646535 16613980 18275378 20767475 24046550 29293070 32222377 36550756 41534950 45688445 48093100 55656833 58586140 64444754 73232675 83069900 91376890 111313666 128889508 146465350 161111885 182753780 222627332 228442225 278284165 292930700 322223770 456884450 556568330 612225163 644447540 805559425 913768900 1113136660 1224450326 1391420825 1611118850 2448900652 2782841650 3061125815 3222237700 5565683300 6122251630 12244503260 15305629075 30611258150 61222516300