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2001223032 = 2331913931573
BaseRepresentation
bin111011101001000…
…0011110101111000
312011110122122220120
41313102003311320
513044303114112
6530325053240
7100410054324
oct16722036570
95143578816
102001223032
11937702536
1247a257220
1325b7b4c53
1414dad6984
15baa54e8c
hex77483d78

2001223032 has 64 divisors (see below), whose sum is σ = 5304432000. Its totient is φ = 627398784.

The previous prime is 2001222991. The next prime is 2001223057. The reversal of 2001223032 is 2303221002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47598 + ... + 79170.

It is an arithmetic number, because the mean of its divisors is an integer number (82881750).

Almost surely, 22001223032 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 2001223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652216000).

2001223032 is an abundant number, since it is smaller than the sum of its proper divisors (3303208968).

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

2001223032 is a wasteful number, since it uses less digits than its factorization.

2001223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31740 (or 31736 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2001223032 is about 44735.0313736338. The cubic root of 2001223032 is about 1260.1778181896.

Adding to 2001223032 its reverse (2303221002), we get a palindrome (4304444034).

The spelling of 2001223032 in words is "two billion, one million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 139 152 228 278 417 456 556 834 1112 1668 2641 3336 5282 7923 10564 15846 21128 31573 31692 63146 63384 94719 126292 189438 252584 378876 599887 757752 1199774 1799661 2399548 3599322 4388647 4799096 7198644 8777294 13165941 14397288 17554588 26331882 35109176 52663764 83384293 105327528 166768586 250152879 333537172 500305758 667074344 1000611516 2001223032