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6242228544 = 263137307773
BaseRepresentation
bin1011101000001000…
…01101100101000000
3121010000212001202210
411310010031211000
5100241002303134
62511224342120
7310455032016
oct56404154500
917100761683
106242228544
112713636772
121262614940
1378631a076
144330648b6
152680342e9
hex17410d940

6242228544 has 112 divisors (see below), whose sum is σ = 16712232768. Its totient is φ = 2056163328.

The previous prime is 6242228537. The next prime is 6242228561. The reversal of 6242228544 is 4458222426.

It is a congruent number.

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, 8074942 + ... + 8075714.

It is an arithmetic number, because the mean of its divisors is an integer number (149216364).

Almost surely, 26242228544 is an apocalyptic number.

6242228544 is a gapful number since it is divisible by the number (64) 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 6242228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356116384).

6242228544 is an abundant number, since it is smaller than the sum of its proper divisors (10470004224).

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

6242228544 is a wasteful number, since it uses less digits than its factorization.

6242228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1222 counting only the distinct ones).

The product of its digits is 245760, while the sum is 39.

The square root of 6242228544 is about 79007.7752123169. The cubic root of 6242228544 is about 1841.2519582932.

The spelling of 6242228544 in words is "six billion, two hundred forty-two million, two hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 307 411 548 614 773 822 921 1096 1228 1546 1644 1842 2192 2319 2456 3092 3288 3684 4384 4638 4912 6184 6576 7368 8768 9276 9824 12368 13152 14736 18552 19648 24736 26304 29472 37104 42059 49472 58944 74208 84118 105901 126177 148416 168236 211802 237311 252354 317703 336472 423604 474622 504708 635406 672944 711933 847208 949244 1009416 1270812 1345888 1423866 1694416 1898488 2018832 2541624 2691776 2847732 3388832 3796976 4037664 5083248 5695464 6777664 7593952 8075328 10166496 11390928 15187904 20332992 22781856 32511607 45563712 65023214 97534821 130046428 195069642 260092856 390139284 520185712 780278568 1040371424 1560557136 2080742848 3121114272 6242228544