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2291431364420 = 22511172393256031
BaseRepresentation
bin100001010110000011111…
…100111101011101000100
322010001120210101002102212
4201112003330331131010
5300020322412130140
64512400302322552
7324356543141522
oct41260374753504
98101523332385
102291431364420
118038772a4380
12310117889458
131381090b62c3
147cc979c7312
153e9132bb765
hex21583f3d744

2291431364420 has 96 divisors (see below), whose sum is σ = 5560597195776. Its totient is φ = 783902412800.

The previous prime is 2291431364407. The next prime is 2291431364449. The reversal of 2291431364420 is 244631341922.

2291431364420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 8821805 + ... + 9077835.

It is an arithmetic number, because the mean of its divisors is an integer number (57922887456).

Almost surely, 22291431364420 is an apocalyptic number.

2291431364420 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 2291431364420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780298597888).

2291431364420 is an abundant number, since it is smaller than the sum of its proper divisors (3269165831356).

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

2291431364420 is a wasteful number, since it uses less digits than its factorization.

2291431364420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258461 (or 258459 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 2291431364420 in words is "two trillion, two hundred ninety-one billion, four hundred thirty-one million, three hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 2393 3740 4786 9572 11965 23930 26323 40681 47860 52646 81362 105292 131615 162724 203405 256031 263230 406810 447491 512062 526460 813620 894982 1024124 1280155 1789964 2237455 2560310 2816341 4352527 4474910 5120620 5632682 8705054 8949820 11265364 14081705 17410108 21762635 28163410 43525270 47877797 56326820 87050540 95755594 191511188 239388985 478777970 612682183 957555940 1225364366 2450728732 3063410915 6126821830 6739504013 10415597111 12253643660 13479008026 20831194222 26958016052 33697520065 41662388444 52077985555 67395040130 104155971110 114571568221 134790080260 208311942220 229143136442 458286272884 572857841105 1145715682210 2291431364420