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2422889940 = 2235311578297
BaseRepresentation
bin1001000001101010…
…0101110111010100
320020212002120011110
42100122211313110
514430224434230
61040230535020
7114020140032
oct22032456724
96225076143
102422889940
111033727089
12577507470
132c7c715b3
1418dadb552
15e2a984b0
hex906a5dd4

2422889940 has 96 divisors (see below), whose sum is σ = 7048387584. Its totient is φ = 621204480.

The previous prime is 2422889939. The next prime is 2422889969. The reversal of 2422889940 is 499882242.

It is a super-2 number, since 2×24228899402 = 11740791322706407200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2422889940.

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, 287872 + ... + 296168.

It is an arithmetic number, because the mean of its divisors is an integer number (73420704).

Almost surely, 22422889940 is an apocalyptic number.

2422889940 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 2422889940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524193792).

2422889940 is an abundant number, since it is smaller than the sum of its proper divisors (4625497644).

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

2422889940 is a wasteful number, since it uses less digits than its factorization.

2422889940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8497 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2422889940 is about 49222.8599331652. The cubic root of 2422889940 is about 1343.1089061143.

The spelling of 2422889940 in words is "two billion, four hundred twenty-two million, eight hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 157 186 310 314 372 465 471 620 628 785 930 942 1570 1860 1884 2355 3140 4710 4867 8297 9420 9734 14601 16594 19468 24335 24891 29202 33188 41485 48670 49782 58404 73005 82970 97340 99564 124455 146010 165940 248910 257207 292020 497820 514414 771621 1028828 1286035 1302629 1543242 2572070 2605258 3086484 3858105 3907887 5144140 5210516 6513145 7716210 7815774 13026290 15432420 15631548 19539435 26052580 39078870 40381499 78157740 80762998 121144497 161525996 201907495 242288994 403814990 484577988 605722485 807629980 1211444970 2422889940