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2040201216 = 216331153
BaseRepresentation
bin111100110011011…
…0000000000000000
312021011222221221000
41321212300000000
513134242414331
6534240332000
7101362265334
oct17146600000
95234887830
102040201216
11957705409
1248b314000
132668b1671
14154d617c4
15be1a40e6
hex799b0000

2040201216 has 136 divisors (see below), whose sum is σ = 6050237360. Its totient is φ = 679477248.

The previous prime is 2040201211. The next prime is 2040201217. The reversal of 2040201216 is 6121020402.

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

It is not an unprimeable number, because it can be changed into a prime (2040201211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1768896 + ... + 1770048.

Almost surely, 22040201216 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 2040201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025118680).

2040201216 is an abundant number, since it is smaller than the sum of its proper divisors (4010036144).

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

2040201216 is an frugal number, since it uses more digits than its factorization.

2040201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2040201216 is about 45168.5866061802. The cubic root of 2040201216 is about 1268.3068382745.

Adding to 2040201216 its reverse (6121020402), we get a palindrome (8161221618).

The spelling of 2040201216 in words is "two billion, forty million, two hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1153 1536 1728 2048 2304 2306 3072 3456 3459 4096 4608 4612 6144 6912 6918 8192 9216 9224 10377 12288 13824 13836 16384 18432 18448 20754 24576 27648 27672 31131 32768 36864 36896 41508 49152 55296 55344 62262 65536 73728 73792 83016 98304 110592 110688 124524 147456 147584 166032 196608 221184 221376 249048 294912 295168 332064 442368 442752 498096 589824 590336 664128 884736 885504 996192 1180672 1328256 1769472 1771008 1992384 2361344 2656512 3542016 3984768 4722688 5313024 7084032 7969536 9445376 10626048 14168064 15939072 18890752 21252096 28336128 31878144 37781504 42504192 56672256 63756288 75563008 85008384 113344512 127512576 170016768 226689024 255025152 340033536 510050304 680067072 1020100608 2040201216