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2200220880 = 2435111364109
BaseRepresentation
bin1000001100100100…
…1011010011010000
312200100002210122020
42003021023103100
514001224032010
61002154211440
7105344366064
oct20311132320
95610083566
102200220880
11a29a70570
12514a23b80
13290aab060
1416c2d7aa4
15cd262470
hex8324b4d0

2200220880 has 160 divisors (see below), whose sum is σ = 8013237120. Its totient is φ = 492349440.

The previous prime is 2200220879. The next prime is 2200220899. The reversal of 2200220880 is 880220022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2200220880.

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, 2266 + ... + 66374.

It is an arithmetic number, because the mean of its divisors is an integer number (50082732).

Almost surely, 22200220880 is an apocalyptic number.

2200220880 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 2200220880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006618560).

2200220880 is an abundant number, since it is smaller than the sum of its proper divisors (5813016240).

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

2200220880 is a wasteful number, since it uses less digits than its factorization.

2200220880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64149 (or 64143 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2200220880 is about 46906.5121278485. The cubic root of 2200220880 is about 1300.6349718552.

The spelling of 2200220880 in words is "two billion, two hundred million, two hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 34320 64109 128218 192327 256436 320545 384654 512872 641090 705199 769308 833417 961635 1025744 1282180 1410398 1538616 1666834 1923270 2115597 2500251 2564360 2820796 3077232 3333668 3525995 3846540 4167085 4231194 5000502 5128720 5641592 6667336 7051990 7693080 8334170 8462388 9167587 10001004 10577985 11283184 12501255 13334672 14103980 15386160 16668340 16924776 18335174 20002008 21155970 25002510 27502761 28207960 33336680 33849552 36670348 40004016 42311940 45837935 50005020 55005522 56415920 66673360 73340696 84623880 91675870 100010040 110011044 137513805 146681392 169247760 183351740 200020080 220022088 275027610 366703480 440044176 550055220 733406960 1100110440 2200220880