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2044432020 = 2235311577001
BaseRepresentation
bin111100111011011…
…1000111010010100
312021110221220111110
41321312320322110
513141333311040
6534511135020
7101443246131
oct17166707224
95243856443
102044432020
1195a035044
12490814470
132677332b7
14155743588
15be73c980
hex79db8e94

2044432020 has 96 divisors (see below), whose sum is σ = 5947554816. Its totient is φ = 524160000.

The previous prime is 2044431971. The next prime is 2044432021. The reversal of 2044432020 is 202344402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044432021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288520 + ... + 295520.

It is an arithmetic number, because the mean of its divisors is an integer number (61953696).

Almost surely, 22044432020 is an apocalyptic number.

2044432020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973777408).

2044432020 is an abundant number, since it is smaller than the sum of its proper divisors (3903122796).

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

2044432020 is a wasteful number, since it uses less digits than its factorization.

2044432020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7201 (or 7199 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2044432020 is about 45215.3958292969. The cubic root of 2044432020 is about 1269.1829369500.

Adding to 2044432020 its reverse (202344402), we get a palindrome (2246776422).

The spelling of 2044432020 in words is "two billion, forty-four million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 157 186 310 314 372 465 471 620 628 785 930 942 1570 1860 1884 2355 3140 4710 4867 7001 9420 9734 14002 14601 19468 21003 24335 28004 29202 35005 42006 48670 58404 70010 73005 84012 97340 105015 140020 146010 210030 217031 292020 420060 434062 651093 868124 1085155 1099157 1302186 2170310 2198314 2604372 3255465 3297471 4340620 4396628 5495785 6510930 6594942 10991570 13021860 13189884 16487355 21983140 32974710 34073867 65949420 68147734 102221601 136295468 170369335 204443202 340738670 408886404 511108005 681477340 1022216010 2044432020