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224052155420 = 2253728299871
BaseRepresentation
bin1101000010101010001…
…1001001010000011100
3210102022120122202222112
43100222203021100130
512132324322433140
6250532251133152
722121135620052
oct3205243112034
9712276582875
10224052155420
11870246675a5
123750a7441b8
13181883799c2
14abb66161d2
155c64d18c65
hex342a8c941c

224052155420 has 72 divisors (see below), whose sum is σ = 484202053440. Its totient is φ = 87084668160.

The previous prime is 224052155419. The next prime is 224052155443. The reversal of 224052155420 is 24551250422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22693085 + ... + 22702955.

It is an arithmetic number, because the mean of its divisors is an integer number (6725028520).

Almost surely, 2224052155420 is an apocalyptic number.

224052155420 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 224052155420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242101026720).

224052155420 is an abundant number, since it is smaller than the sum of its proper divisors (260149898020).

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

224052155420 is a wasteful number, since it uses less digits than its factorization.

224052155420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10783 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The spelling of 224052155420 in words is "two hundred twenty-four billion, fifty-two million, one hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 829 1369 1658 2738 3316 4145 5476 6845 8290 9871 13690 16580 19742 27380 30673 39484 49355 61346 98710 122692 153365 197420 306730 365227 613460 730454 1134901 1460908 1826135 2269802 3652270 4539604 5674505 7304540 8183059 11349010 13513399 16366118 22698020 27026798 32732236 40915295 54053596 67566995 81830590 135133990 163661180 270267980 302773183 605546366 1211092732 1513865915 3027731830 6055463660 11202607771 22405215542 44810431084 56013038855 112026077710 224052155420