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11220223040 = 2651317158657
BaseRepresentation
bin10100111001100011…
…10000010001000000
31001221221211101110022
422130301300101000
5140434334114130
65053212153012
7545022215345
oct123461602100
931857741408
1011220223040
114838583704
122211768768
13109a742740
147862387cc
1545a0907e5
hex29cc70440

11220223040 has 112 divisors (see below), whose sum is σ = 30466143792. Its totient is φ = 3899129856.

The previous prime is 11220223037. The next prime is 11220223067. The reversal of 11220223040 is 4032202211.

It can be written as a sum of positive squares in 8 ways, for example, as 75620416 + 11144602624 = 8696^2 + 105568^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8609 + ... + 150048.

It is an arithmetic number, because the mean of its divisors is an integer number (272019141).

Almost surely, 211220223040 is an apocalyptic number.

11220223040 is a gapful number since it is divisible by the number (10) 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 11220223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233071896).

11220223040 is an abundant number, since it is smaller than the sum of its proper divisors (19245920752).

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

11220223040 is a wasteful number, since it uses less digits than its factorization.

11220223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158704 (or 158694 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 11220223040 its reverse (4032202211), we get a palindrome (15252425251).

The spelling of 11220223040 in words is "eleven billion, two hundred twenty million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 520 544 680 832 884 1040 1088 1105 1360 1768 2080 2210 2720 3536 4160 4420 5440 7072 8840 14144 17680 35360 70720 158657 317314 634628 793285 1269256 1586570 2062541 2538512 2697169 3173140 4125082 5077024 5394338 6346280 8250164 10154048 10312705 10788676 12692560 13485845 16500328 20625410 21577352 25385120 26971690 33000656 35063197 41250820 43154704 50770240 53943380 66001312 70126394 82501640 86309408 107886760 132002624 140252788 165003280 172618816 175315985 215773520 280505576 330006560 350631970 431547040 561011152 660013120 701263940 863094080 1122022304 1402527880 2244044608 2805055760 5610111520 11220223040