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33644223940 = 22573157146777
BaseRepresentation
bin11111010101010110…
…100001110111000100
310012211201112122211011
4133111112201313010
51022400410131230
623242252252004
72300510120305
oct372526416704
9105751478734
1033644223940
11132a5318458
12662b471004
13323238a522
1418b242a7ac
15d1da23e2a
hex7d55a1dc4

33644223940 has 48 divisors (see below), whose sum is σ = 72077391792. Its totient is φ = 13188704256.

The previous prime is 33644223929. The next prime is 33644223941. The reversal of 33644223940 is 4932244633.

It can be written as a sum of positive squares in 8 ways, for example, as 351112644 + 33293111296 = 18738^2 + 182464^2 .

It is a super-2 number, since 2×336442239402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33644223893 and 33644223902.

It is not an unprimeable number, because it can be changed into a prime (33644223941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155832 + ... + 302608.

It is an arithmetic number, because the mean of its divisors is an integer number (1501612329).

Almost surely, 233644223940 is an apocalyptic number.

It is an amenable number.

33644223940 is an abundant number, since it is smaller than the sum of its proper divisors (38433167852).

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

33644223940 is a wasteful number, since it uses less digits than its factorization.

33644223940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147016 (or 147014 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 40.

The spelling of 33644223940 in words is "thirty-three billion, six hundred forty-four million, two hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 73 146 157 292 314 365 628 730 785 1460 1570 3140 11461 22922 45844 57305 114610 146777 229220 293554 587108 733885 1467770 2935540 10714721 21429442 23043989 42858884 46087978 53573605 92175956 107147210 115219945 214294420 230439890 460879780 1682211197 3364422394 6728844788 8411055985 16822111970 33644223940