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213400242224 = 24131953998037
BaseRepresentation
bin1100011010111110100…
…1010100100000110000
3202101211020012112001222
43012233221110200300
511444020430222344
6242011255444212
721263154062411
oct3065751244060
9671736175058
10213400242224
1182558967554
1235437386668
131717b5b87a0
14a485a75808
15583ead65ee
hex31afa54830

213400242224 has 40 divisors (see below), whose sum is σ = 468702969840. Its totient is φ = 93308606208.

The previous prime is 213400242217. The next prime is 213400242287. The reversal of 213400242224 is 422242004312.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 213400242193 and 213400242202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26995067 + ... + 27002970.

It is an arithmetic number, because the mean of its divisors is an integer number (11717574246).

Almost surely, 2213400242224 is an apocalyptic number.

It is an amenable number.

213400242224 is an abundant number, since it is smaller than the sum of its proper divisors (255302727616).

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

213400242224 is a wasteful number, since it uses less digits than its factorization.

213400242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53998077 (or 53998071 counting only the distinct ones).

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

Adding to 213400242224 its reverse (422242004312), we get a palindrome (635642246536).

The spelling of 213400242224 in words is "two hundred thirteen billion, four hundred million, two hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 53998037 107996074 215992148 431984296 701974481 863968592 1025962703 1403948962 2051925406 2807897924 4103850812 5615795848 8207701624 11231591696 13337515139 16415403248 26675030278 53350060556 106700121112 213400242224