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19234227440 = 2451983152459
BaseRepresentation
bin10001111010011100…
…110000010011110000
31211122110120222210002
4101322130300103300
5303342430234230
612500332125132
71250433143561
oct217234602360
954573528702
1019234227440
11818024683a
1238896067a8
131a76b49c8c
14d0670a168
15778905545
hex47a7304f0

19234227440 has 80 divisors (see below), whose sum is σ = 47640700800. Its totient is φ = 7200896256.

The previous prime is 19234227379. The next prime is 19234227451. The reversal of 19234227440 is 4472243291.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 19234227394 and 19234227403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49931 + ... + 202389.

It is an arithmetic number, because the mean of its divisors is an integer number (595508760).

Almost surely, 219234227440 is an apocalyptic number.

19234227440 is a gapful number since it is divisible by the number (10) 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 19234227440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23820350400).

19234227440 is an abundant number, since it is smaller than the sum of its proper divisors (28406473360).

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

19234227440 is a wasteful number, since it uses less digits than its factorization.

19234227440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152574 (or 152568 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 19234227440 in words is "nineteen billion, two hundred thirty-four million, two hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 83 95 152 166 190 304 332 380 415 664 760 830 1328 1520 1577 1660 3154 3320 6308 6640 7885 12616 15770 25232 31540 63080 126160 152459 304918 609836 762295 1219672 1524590 2439344 2896721 3049180 5793442 6098360 11586884 12196720 12654097 14483605 23173768 25308194 28967210 46347536 50616388 57934420 63270485 101232776 115868840 126540970 202465552 231737680 240427843 253081940 480855686 506163880 961711372 1012327760 1202139215 1923422744 2404278430 3846845488 4808556860 9617113720 19234227440