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2215387296804 = 22311217471909573
BaseRepresentation
bin100000001111001111010…
…111110111010000100100
321211210022011001012111010
4200033033113313100210
5242244103121444204
64413422422142220
7316025235214503
oct40171727672044
97753264035433
102215387296804
117845a4412900
122b9434881970
13130baa713aa6
14793223b083a
153c96226ad89
hex203cf5f7424

2215387296804 has 144 divisors (see below), whose sum is σ = 6144123089664. Its totient is φ = 618395796480.

The previous prime is 2215387296799. The next prime is 2215387296823. The reversal of 2215387296804 is 4086927835122.

2215387296804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22153872968042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205362 + ... + 2114934.

It is an arithmetic number, because the mean of its divisors is an integer number (42667521456).

It is a 1-persistent number, because it is pandigital, but 2⋅2215387296804 = 4430774593608 is not.

Almost surely, 22215387296804 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 2215387296804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072061544832).

2215387296804 is an abundant number, since it is smaller than the sum of its proper divisors (3928735792860).

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

2215387296804 is a wasteful number, since it uses less digits than its factorization.

2215387296804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909666 (or 1909653 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 2215387296804 in words is "two trillion, two hundred fifteen billion, three hundred eighty-seven million, two hundred ninety-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 47 51 66 68 94 102 121 132 141 187 188 204 242 282 363 374 484 517 561 564 726 748 799 1034 1122 1452 1551 1598 2057 2068 2244 2397 3102 3196 4114 4794 5687 6171 6204 8228 8789 9588 11374 12342 17061 17578 22748 24684 26367 34122 35156 52734 68244 96679 105468 193358 290037 386716 580074 1160148 1909573 3819146 5728719 7638292 11457438 21005303 22914876 32462741 42010606 63015909 64925482 84021212 89749931 97388223 126031818 129850964 179499862 194776446 231058333 252063636 269249793 357090151 358999724 389552892 462116666 538499586 693174999 714180302 924233332 987249241 1071270453 1076999172 1386349998 1428360604 1525748827 1974498482 2142540906 2772699996 2961747723 3051497654 3927991661 3948996964 4285081812 4577246481 5923495446 6102995308 7855983322 9154492962 10859741651 11783974983 11846990892 15711966644 16783237097 18308985924 21719483302 23567949966 32579224953 33566474194 43438966604 47135899932 50349711291 65158449906 67132948388 100699422582 130316899812 184615608067 201398845164 369231216134 553846824201 738462432268 1107693648402 2215387296804