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240222222042 = 2311291012834391
BaseRepresentation
bin1101111110111001011…
…1000011011011011010
3211222001111111021022220
43133232113003123122
512413433342101132
6302205003524510
723232634124325
oct3375627033332
9758044437286
10240222222042
11929721aaa20
123a681b29736
131986443966a
14b8abdb77bc
1563ae704a2c
hex37ee5c36da

240222222042 has 128 divisors (see below), whose sum is σ = 549622609920. Its totient is φ = 69326880000.

The previous prime is 240222222011. The next prime is 240222222043.

240222222042 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (240222222043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54705667 + ... + 54710057.

It is an arithmetic number, because the mean of its divisors is an integer number (4293926640).

Almost surely, 2240222222042 is an apocalyptic number.

240222222042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 240222222042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274811304960).

240222222042 is an abundant number, since it is smaller than the sum of its proper divisors (309400387878).

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

240222222042 is a wasteful number, since it uses less digits than its factorization.

240222222042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820.

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 240222 and 222042, that added together give a palindrome (462264).

The spelling of 240222222042 in words is "two hundred forty billion, two hundred twenty-two million, two hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 101 174 202 283 303 319 566 606 638 849 957 1111 1698 1914 2222 2929 3113 3333 4391 5858 6226 6666 8207 8782 8787 9339 13173 16414 17574 18678 24621 26346 28583 32219 48301 49242 57166 64438 85749 90277 96602 96657 127339 144903 171498 180554 193314 254678 270831 289806 314413 382017 443491 541662 628826 764034 828907 886982 943239 1242653 1330473 1400729 1657814 1886478 2485306 2486721 2660946 2801458 3727959 4202187 4878401 4973442 7455918 8404374 9117977 9756802 12861239 13669183 14635203 18235954 25722478 27338366 27353931 29270406 36036937 38583717 41007549 54707862 72073874 77167434 82015098 108110811 125507953 141473629 216221622 251015906 282947258 376523859 396406307 424420887 753047718 792812614 848841774 1189218921 1380587483 2378437842 2761174966 3639730637 4141762449 7279461274 8283524898 10919191911 21838383822 40037037007 80074074014 120111111021 240222222042