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2153442004 = 227224145589
BaseRepresentation
bin1000000001011010…
…1110101011010100
312120002002012002021
42000112232223110
513402240121004
6553403422524
7104235645400
oct20026565324
95502065067
102153442004
11a0561a93a
12501224a44
132841acb4c
14165ddc100
15c90c1d54
hex805aead4

2153442004 has 36 divisors (see below), whose sum is σ = 4402079220. Its totient is φ = 919054080.

The previous prime is 2153441963. The next prime is 2153442013. The reversal of 2153442004 is 4002443512.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1041352900 + 1112089104 = 32270^2 + 33348^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2153442004.

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, 24442 + ... + 70030.

Almost surely, 22153442004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153442004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201039610).

2153442004 is an abundant number, since it is smaller than the sum of its proper divisors (2248637216).

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

2153442004 is a wasteful number, since it uses less digits than its factorization.

2153442004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45848 (or 45839 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2153442004 is about 46405.1937179450. The cubic root of 2153442004 is about 1291.3512679932.

Adding to 2153442004 its reverse (4002443512), we get a palindrome (6155885516).

The spelling of 2153442004 in words is "two billion, one hundred fifty-three million, four hundred forty-two thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 241 482 964 1687 3374 6748 11809 23618 45589 47236 91178 182356 319123 638246 1276492 2233861 4467722 8935444 10986949 21973898 43947796 76908643 153817286 307634572 538360501 1076721002 2153442004