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2031224004 = 22324710691123
BaseRepresentation
bin111100100010010…
…0000010011000100
312020120002212111200
41321010200103010
513124443132004
6533320102500
7101223055605
oct17104402304
95216085450
102031224004
11952633727
12488304a30
13264a8a4c4
14153aa5dac
15bd4ce239
hex791204c4

2031224004 has 72 divisors (see below), whose sum is σ = 5253306240. Its totient is φ = 661459392.

The previous prime is 2031223951. The next prime is 2031224101. The reversal of 2031224004 is 4004221302.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1808187 + ... + 1809309.

Almost surely, 22031224004 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 2031224004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626653120).

2031224004 is an abundant number, since it is smaller than the sum of its proper divisors (3222082236).

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

2031224004 is a wasteful number, since it uses less digits than its factorization.

2031224004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2244 counting only the distinct ones).

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

The square root of 2031224004 is about 45069.1025426511. The cubic root of 2031224004 is about 1266.4438520667.

Adding to 2031224004 its reverse (4004221302), we get a palindrome (6035445306).

The spelling of 2031224004 in words is "two billion, thirty-one million, two hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1069 1123 1692 2138 2246 3207 3369 4276 4492 6414 6738 9621 10107 12828 13476 19242 20214 38484 40428 50243 52781 100486 105562 150729 158343 200972 211124 301458 316686 452187 475029 602916 633372 904374 950058 1200487 1808748 1900116 2400974 3601461 4801948 7202922 10804383 14405844 21608766 43217532 56422889 112845778 169268667 225691556 338537334 507806001 677074668 1015612002 2031224004