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42220228480 = 275388916963
BaseRepresentation
bin100111010100100001…
…011000111110000000
311000222101210211101221
4213110201120332000
51142431334302410
631221250004424
73023154010063
oct472441307600
9130871724357
1042220228480
11169a6244611
128223576714
133c9b047321
1420873d28da
15117189c4da
hex9d4858f80

42220228480 has 64 divisors (see below), whose sum is σ = 100964638800. Its totient is φ = 16882753536.

The previous prime is 42220228469. The next prime is 42220228483. The reversal of 42220228480 is 8482202224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×422202284802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42220228483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2480479 + ... + 2497441.

Almost surely, 242220228480 is an apocalyptic number.

42220228480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42220228480 is an abundant number, since it is smaller than the sum of its proper divisors (58744410320).

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

42220228480 is a wasteful number, since it uses less digits than its factorization.

42220228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20871 (or 20859 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The spelling of 42220228480 in words is "forty-two billion, two hundred twenty million, two hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3889 7778 15556 16963 19445 31112 33926 38890 62224 67852 77780 84815 124448 135704 155560 169630 248896 271408 311120 339260 497792 542816 622240 678520 1085632 1244480 1357040 2171264 2488960 2714080 5428160 10856320 65969107 131938214 263876428 329845535 527752856 659691070 1055505712 1319382140 2111011424 2638764280 4222022848 5277528560 8444045696 10555057120 21110114240 42220228480