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213010144224 = 2532218855669
BaseRepresentation
bin1100011001100001100…
…1001101101111100000
3202100211001011111012220
43012120121031233200
511442221044103344
6241504442351040
721250406231433
oct3063031155740
9670731144186
10213010144224
1182378745109
12353487bb480
1317118833277
14a449d2b81a
15581a72bc19
hex319864dbe0

213010144224 has 24 divisors (see below), whose sum is σ = 559151628840. Its totient is φ = 71003381376.

The previous prime is 213010144219. The next prime is 213010144231. The reversal of 213010144224 is 422441010312.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 213010144194 and 213010144203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1109427739 + ... + 1109427930.

It is an arithmetic number, because the mean of its divisors is an integer number (23297984535).

Almost surely, 2213010144224 is an apocalyptic number.

213010144224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213010144224 is an abundant number, since it is smaller than the sum of its proper divisors (346141484616).

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

213010144224 is a wasteful number, since it uses less digits than its factorization.

213010144224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218855682 (or 2218855674 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 213010144224 its reverse (422441010312), we get a palindrome (635451154536).

The spelling of 213010144224 in words is "two hundred thirteen billion, ten million, one hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2218855669 4437711338 6656567007 8875422676 13313134014 17750845352 26626268028 35501690704 53252536056 71003381408 106505072112 213010144224