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21214204440 = 233511131236259
BaseRepresentation
bin10011110000011101…
…110001001000011000
32000202110021020121120
4103300131301020120
5321421314020230
613425022005240
71350464522352
oct236035611030
960673236546
1021214204440
118aa6957870
124140716820
1320011035c0
1410536720d2
15842660310
hex4f0771218

21214204440 has 128 divisors (see below), whose sum is σ = 74769004800. Its totient is φ = 4747230720.

The previous prime is 21214204421. The next prime is 21214204441. The reversal of 21214204440 is 4440241212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21214204440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214204441) 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, 600970 + ... + 635289.

It is an arithmetic number, because the mean of its divisors is an integer number (584132850).

Almost surely, 221214204440 is an apocalyptic number.

21214204440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214204440 is an abundant number, since it is smaller than the sum of its proper divisors (53554800360).

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

21214204440 is a wasteful number, since it uses less digits than its factorization.

21214204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236297 (or 1236293 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 21214204440 its reverse (4440241212), we get a palindrome (25654445652).

The spelling of 21214204440 in words is "twenty-one billion, two hundred fourteen million, two hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 1236259 2472518 3708777 4945036 6181295 7417554 9890072 12362590 13598849 14835108 16071367 18543885 24725180 27197698 29670216 32142734 37087770 40796547 48214101 49450360 54395396 64285468 67994245 74175540 80356835 81593094 96428202 108790792 128570936 135988490 148351080 160713670 163186188 176785037 192856404 203982735 241070505 271976980 321427340 326372376 353570074 385712808 407965470 482141010 530355111 543953960 642854680 707140148 815930940 883925185 964282020 1060710222 1414280296 1631861880 1767850370 1928564040 2121420444 2651775555 3535700740 4242840888 5303551110 7071401480 10607102220 21214204440