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2053224468 = 2232389146617
BaseRepresentation
bin111101001100001…
…1011100000010100
312022002111121110200
41322120123200110
513201111140333
6535423420500
7101611056111
oct17230334024
95262447420
102053224468
11963a9aa29
12493754730
132694c1329
14156991908
15c03c7c13
hex7a61b814

2053224468 has 36 divisors (see below), whose sum is σ = 5203472820. Its totient is φ = 682644096.

The previous prime is 2053224451. The next prime is 2053224473. The reversal of 2053224468 is 8644223502.

2053224468 is a `hidden beast` number, since 20 + 532 + 2 + 44 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 775733904 + 1277490564 = 27852^2 + 35742^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×20532244683 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59305 + ... + 87312.

Almost surely, 22053224468 is an apocalyptic number.

It is an amenable number.

2053224468 is an abundant number, since it is smaller than the sum of its proper divisors (3150248352).

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

2053224468 is a wasteful number, since it uses less digits than its factorization.

2053224468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147016 (or 147011 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2053224468 is about 45312.5199917197. The cubic root of 2053224468 is about 1270.9997847853. Note that the first 3 decimals are identical.

The spelling of 2053224468 in words is "two billion, fifty-three million, two hundred twenty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 389 778 1167 1556 2334 3501 4668 7002 14004 146617 293234 439851 586468 879702 1319553 1759404 2639106 5278212 57034013 114068026 171102039 228136052 342204078 513306117 684408156 1026612234 2053224468