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2224772404504 = 231343598579839
BaseRepresentation
bin100000010111111110110…
…001001101010100011000
321212200112012210001221121
4200113332301031110120
5242422313213421004
64422014001415024
7316506635263516
oct40277661152430
97780465701847
102224772404504
11788580028161
122bb21393a474
13131a44bc0060
14799729d14b6
153cd11168854
hex205fec4d518

2224772404504 has 128 divisors (see below), whose sum is σ = 4680643968000. Its totient is φ = 984689040384.

The previous prime is 2224772404487. The next prime is 2224772404537. The reversal of 2224772404504 is 4054042774222.

It is a happy number.

It is a super-2 number, since 2×22247724045042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226112817 + ... + 226122655.

It is an arithmetic number, because the mean of its divisors is an integer number (36567531000).

Almost surely, 22224772404504 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 2224772404504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340321984000).

2224772404504 is an abundant number, since it is smaller than the sum of its proper divisors (2455871563496).

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

2224772404504 is a wasteful number, since it uses less digits than its factorization.

2224772404504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10817 (or 10813 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 43.

The spelling of 2224772404504 in words is "two trillion, two hundred twenty-four billion, seven hundred seventy-two million, four hundred four thousand, five hundred four".

Divisors: 1 2 4 8 13 26 43 52 59 86 104 118 172 236 344 472 559 767 857 1118 1534 1714 2236 2537 3068 3428 4472 5074 6136 6856 9839 10148 11141 19678 20296 22282 32981 36851 39356 44564 50563 65962 73702 78712 89128 101126 127907 131924 147404 202252 255814 263848 294808 404504 423077 479063 511628 580501 657319 846154 958126 1023256 1161002 1314638 1692308 1916252 2174209 2322004 2629276 3384616 3832504 4348418 4644008 5258552 5500001 7546513 8432023 8696836 11000002 15093026 16864046 17393672 22000004 24961543 28264717 30186052 33728092 44000008 49923086 56529434 60372104 67456184 99846172 109616299 113058868 199692344 219232598 226117736 324500059 362576989 438465196 497489357 649000118 725153978 876930392 994978714 1298000236 1450307956 1989957428 2596000472 2900615912 3979914856 4713500857 6467361641 9427001714 12934723282 18854003428 21392042351 25869446564 37708006856 42784084702 51738893128 85568169404 171136338808 278096550563 556193101126 1112386202252 2224772404504