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2232100404 = 2232101613889
BaseRepresentation
bin1000010100001011…
…0010011000110100
312202120002110010100
42011002302120310
514032404203104
61005253354100
7106212353232
oct20502623064
95676073110
102232100404
11a45a65086
12523638930
13297590691
14172635952
15d0e5d139
hex850b2634

2232100404 has 36 divisors (see below), whose sum is σ = 5698126980. Its totient is φ = 736665600.

The previous prime is 2232100397. The next prime is 2232100417. The reversal of 2232100404 is 4040012322.

It can be written as a sum of positive squares in 2 ways, for example, as 2030403600 + 201696804 = 45060^2 + 14202^2 .

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

It is a super-3 number, since 3×22321004043 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 303309 + ... + 310580.

It is an arithmetic number, because the mean of its divisors is an integer number (158281305).

Almost surely, 22232100404 is an apocalyptic number.

It is an amenable number.

2232100404 is an abundant number, since it is smaller than the sum of its proper divisors (3466026576).

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

2232100404 is a wasteful number, since it uses less digits than its factorization.

2232100404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614000 (or 613995 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2232100404 is about 47245.1098421837. The cubic root of 2232100404 is about 1306.8866111028.

Adding to 2232100404 its reverse (4040012322), we get a palindrome (6272112726).

The spelling of 2232100404 in words is "two billion, two hundred thirty-two million, one hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 613889 1227778 1841667 2455556 3683334 5525001 7366668 11050002 22100004 62002789 124005578 186008367 248011156 372016734 558025101 744033468 1116050202 2232100404