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221215403240 = 235131941546103
BaseRepresentation
bin1100111000000101110…
…1110010110011101000
3210010222212210211112222
43032001131302303220
512111022120400430
6245342553453212
721660631621406
oct3160135626350
9703885724488
10221215403240
11858a9367707
1236a58711208
1317b25752310
14a9c7986476
155b4ac6e9e5
hex3381772ce8

221215403240 has 128 divisors (see below), whose sum is σ = 577996473600. Its totient is φ = 75493140480.

The previous prime is 221215403191. The next prime is 221215403267. The reversal of 221215403240 is 42304512122.

221215403240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132029 + ... + 678131.

It is an arithmetic number, because the mean of its divisors is an integer number (4515597450).

Almost surely, 2221215403240 is an apocalyptic number.

221215403240 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 221215403240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288998236800).

221215403240 is an abundant number, since it is smaller than the sum of its proper divisors (356781070360).

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

221215403240 is a wasteful number, since it uses less digits than its factorization.

221215403240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546187 (or 546183 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 221215403240 its reverse (42304512122), we get a palindrome (263519915362).

The spelling of 221215403240 in words is "two hundred twenty-one billion, two hundred fifteen million, four hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 41 52 65 76 82 95 104 130 152 164 190 205 247 260 328 380 410 494 520 533 760 779 820 988 1066 1235 1558 1640 1976 2132 2470 2665 3116 3895 4264 4940 5330 6232 7790 9880 10127 10660 15580 20254 21320 31160 40508 50635 81016 101270 202540 405080 546103 1092206 2184412 2730515 4368824 5461030 7099339 10375957 10922060 14198678 20751914 21844120 22390223 28397356 35496695 41503828 44780446 51879785 56794712 70993390 83007656 89560892 103759570 111951115 134887441 141986780 179121784 207519140 223902230 269774882 283973560 291072899 415038280 425414237 447804460 539549764 582145798 674437205 850828474 895608920 1079099528 1164291596 1348874410 1455364495 1701656948 2127071185 2328583192 2697748820 2910728990 3403313896 4254142370 5395497640 5530385081 5821457980 8508284740 11060770162 11642915960 17016569480 22121540324 27651925405 44243080648 55303850810 110607701620 221215403240