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90228162248 = 23723643108947
BaseRepresentation
bin101010000001000000…
…1000111111011001000
322121220011012112212222
41110002001013323020
52434241402142443
6105241130353212
76342636503420
oct1240201077310
9277804175788
1090228162248
11352a1499834
12155a128b808
13867c189c23
14451d331480
1525313ea468
hex1502047ec8

90228162248 has 64 divisors (see below), whose sum is σ = 202068034560. Its totient is φ = 36930079296.

The previous prime is 90228162247. The next prime is 90228162259. The reversal of 90228162248 is 84226182209.

It is a super-2 number, since 2×902281622482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90228162199 and 90228162208.

It is not an unprimeable number, because it can be changed into a prime (90228162247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773711 + ... + 882657.

It is an arithmetic number, because the mean of its divisors is an integer number (3157313040).

Almost surely, 290228162248 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 90228162248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101034017280).

90228162248 is an abundant number, since it is smaller than the sum of its proper divisors (111839872312).

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

90228162248 is a wasteful number, since it uses less digits than its factorization.

90228162248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109626 (or 109622 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 90228162248 in words is "ninety billion, two hundred twenty-eight million, one hundred sixty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 643 644 1286 1288 2572 4501 5144 9002 14789 18004 29578 36008 59156 103523 108947 118312 207046 217894 414092 435788 762629 828184 871576 1525258 2505781 3050516 5011562 6101032 10023124 17540467 20046248 35080934 70052921 70161868 140105842 140323736 280211684 490370447 560423368 980740894 1611217183 1961481788 3222434366 3922963576 6444868732 11278520281 12889737464 22557040562 45114081124 90228162248