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10220234244440 = 23511401303719073
BaseRepresentation
bin1001010010111001010101…
…1011101000000101011000
31100012001012200211001112112
42110232111123220011120
52314422014431310230
633423035533131452
72103246634466513
oct224562533500530
940161180731475
1010220234244440
113290416876590
1211908bb929b88
135919c15394ac
1427493a66dd7a
1512acb99a3d95
hex94b956e8158

10220234244440 has 128 divisors (see below), whose sum is σ = 25158187897920. Its totient is φ = 3705765888000.

The previous prime is 10220234244427. The next prime is 10220234244491. The reversal of 10220234244440 is 4444243202201.

It is a super-2 number, since 2×102202342444402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10220234244397 and 10220234244406.

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, 535838744 + ... + 535857816.

Almost surely, 210220234244440 is an apocalyptic number.

10220234244440 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 10220234244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579093948960).

10220234244440 is an abundant number, since it is smaller than the sum of its proper divisors (14937953653480).

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

10220234244440 is a wasteful number, since it uses less digits than its factorization.

10220234244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22533 (or 22529 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 10220234244440 its reverse (4444243202201), we get a palindrome (14664477446641).

The spelling of 10220234244440 in words is "ten trillion, two hundred twenty billion, two hundred thirty-four million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 401 440 802 1604 2005 3037 3208 4010 4411 6074 8020 8822 12148 15185 16040 17644 19073 22055 24296 30370 33407 35288 38146 44110 60740 66814 76292 88220 95365 121480 133628 152584 167035 176440 190730 209803 267256 334070 381460 419606 668140 762920 839212 1049015 1217837 1336280 1678424 2098030 2435674 4196060 4871348 6089185 7648273 8392120 9742696 12178370 13396207 15296546 24356740 26792414 30593092 38241365 48713480 53584828 57924701 61186184 66981035 76482730 84131003 107169656 115849402 133962070 152965460 168262006 231698804 267924140 289623505 305930920 336524012 420655015 463397608 535848280 579247010 637171711 673048024 841310030 1158494020 1274343422 1682620060 2316988040 2548686844 3185858555 3365240120 5097373688 6371717110 12743434220 23227805101 25486868440 46455610202 92911220404 116139025505 185822440808 232278051010 255505856111 464556102020 511011712222 929112204040 1022023424444 1277529280555 2044046848888 2555058561110 5110117122220 10220234244440