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220260240440 = 23510769617393
BaseRepresentation
bin1100110100100010001…
…0001000110000111000
3210001112022111112111222
43031020202020300320
512102043110143230
6245104113211212
721625153103252
oct3151042106070
9701468445458
10220260240440
1185459188769
1236830860b08
1317a028b3626
14a936b8acd2
155ae1e986e5
hex3348888c38

220260240440 has 64 divisors (see below), whose sum is σ = 500356712160. Its totient is φ = 87256350720.

The previous prime is 220260240407. The next prime is 220260240443. The reversal of 220260240440 is 44042062022.

It is a happy number.

It is a super-2 number, since 2×2202602404402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220260240443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29789384 + ... + 29796776.

Almost surely, 2220260240440 is an apocalyptic number.

220260240440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220260240440 is an abundant number, since it is smaller than the sum of its proper divisors (280096471720).

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

220260240440 is a wasteful number, since it uses less digits than its factorization.

220260240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14472 (or 14468 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The spelling of 220260240440 in words is "two hundred twenty billion, two hundred sixty million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 4280 6961 7393 13922 14786 27844 29572 34805 36965 55688 59144 69610 73930 139220 147860 278440 295720 744827 791051 1489654 1582102 2979308 3164204 3724135 3955255 5958616 6328408 7448270 7910510 14896540 15821020 29793080 31642040 51462673 102925346 205850692 257313365 411701384 514626730 1029253460 2058506920 5506506011 11013012022 22026024044 27532530055 44052048088 55065060110 110130120220 220260240440