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1930688224 = 252910919087
BaseRepresentation
bin111001100010011…
…1111011011100000
311222112221010100021
41303010333123200
512423224010344
6515325203224
765562402433
oct16304773340
94875833307
101930688224
11900906703
1245a700514
13249cb9b8a
141445b581a
15b4770b84
hex7313f6e0

1930688224 has 48 divisors (see below), whose sum is σ = 3968395200. Its totient is φ = 923457024.

The previous prime is 1930688213. The next prime is 1930688257. The reversal of 1930688224 is 4228860391.

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 7 ways as a sum of consecutive naturals, for example, 91609 + ... + 110695.

It is an arithmetic number, because the mean of its divisors is an integer number (82674900).

Almost surely, 21930688224 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 1930688224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984197600).

1930688224 is an abundant number, since it is smaller than the sum of its proper divisors (2037706976).

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

1930688224 is a wasteful number, since it uses less digits than its factorization.

1930688224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19235 (or 19227 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 1930688224 is about 43939.5974492257. The cubic root of 1930688224 is about 1245.1950413507.

The spelling of 1930688224 in words is "one billion, nine hundred thirty million, six hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 109 116 218 232 436 464 872 928 1744 3161 3488 6322 12644 19087 25288 38174 50576 76348 101152 152696 305392 553523 610784 1107046 2080483 2214092 4160966 4428184 8321932 8856368 16643864 17712736 33287728 60334007 66575456 120668014 241336028 482672056 965344112 1930688224