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213449266440 = 233251673550387
BaseRepresentation
bin1100011011001010010…
…0010101010100001000
3202101221122110012122200
43012302210111110020
511444121003011230
6242020210320200
721264320554224
oct3066244252410
9671848405580
10213449266440
1182583601133
123544b889060
13171887c19b7
14a48c397784
15584406c160
hex31b2915508

213449266440 has 96 divisors (see below), whose sum is σ = 697864265280. Its totient is φ = 56578951296.

The previous prime is 213449266427. The next prime is 213449266453. The reversal of 213449266440 is 44662944312.

213449266440 is a `hidden beast` number, since 2 + 1 + 344 + 9 + 266 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (213449266427) and next prime (213449266453).

It is a super-2 number, since 2×2134492664402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1715074 + ... + 1835313.

It is an arithmetic number, because the mean of its divisors is an integer number (7269419430).

Almost surely, 2213449266440 is an apocalyptic number.

213449266440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213449266440 is an abundant number, since it is smaller than the sum of its proper divisors (484414998840).

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

213449266440 is a wasteful number, since it uses less digits than its factorization.

213449266440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550571 (or 3550564 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 213449266440 in words is "two hundred thirteen billion, four hundred forty-nine million, two hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 334 360 501 668 835 1002 1336 1503 1670 2004 2505 3006 3340 4008 5010 6012 6680 7515 10020 12024 15030 20040 30060 60120 3550387 7100774 10651161 14201548 17751935 21302322 28403096 31953483 35503870 42604644 53255805 63906966 71007740 85209288 106511610 127813932 142015480 159767415 213023220 255627864 319534830 426046440 592914629 639069660 1185829258 1278139320 1778743887 2371658516 2964573145 3557487774 4743317032 5336231661 5929146290 7114975548 8893719435 10672463322 11858292580 14229951096 17787438870 21344926644 23716585160 26681158305 35574877740 42689853288 53362316610 71149755480 106724633220 213449266440