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202204134440 = 235711292263817
BaseRepresentation
bin1011110001010001001…
…1100011110000101000
3201022220221202022112022
42330110103203300220
511303103224300230
6232520304204012
720415543532640
oct2742423436050
9638827668468
10202204134440
1178832a65010
1233231909608
13160b5b6a639
149b02b17520
1553d6c0b1e5
hex2f144e3c28

202204134440 has 128 divisors (see below), whose sum is σ = 586781625600. Its totient is φ = 60851374080.

The previous prime is 202204134413. The next prime is 202204134479. The reversal of 202204134440 is 44431402202.

It is a happy number.

It is a super-2 number, since 2×2022041344402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042589 + ... + 1221228.

It is an arithmetic number, because the mean of its divisors is an integer number (4584231450).

Almost surely, 2202204134440 is an apocalyptic number.

202204134440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202204134440 is an abundant number, since it is smaller than the sum of its proper divisors (384577491160).

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

202204134440 is a wasteful number, since it uses less digits than its factorization.

202204134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263875 (or 2263871 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 202204134440 its reverse (44431402202), we get a palindrome (246635536642).

The spelling of 202204134440 in words is "two hundred two billion, two hundred four million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 29 35 40 44 55 56 58 70 77 88 110 116 140 145 154 203 220 232 280 290 308 319 385 406 440 580 616 638 770 812 1015 1160 1276 1540 1595 1624 2030 2233 2552 3080 3190 4060 4466 6380 8120 8932 11165 12760 17864 22330 44660 89320 2263817 4527634 9055268 11319085 15846719 18110536 22638170 24901987 31693438 45276340 49803974 63386876 65650693 79233595 90552680 99607948 124509935 126773752 131301386 158467190 174313909 199215896 249019870 262602772 316934380 328253465 348627818 459554851 498039740 525205544 633868760 656506930 697255636 722157623 871569545 919109702 996079480 1313013860 1394511272 1444315246 1743139090 1838219404 2297774255 2626027720 2888630492 3486278180 3610788115 3676438808 4595548510 5055103361 5777260984 6972556360 7221576230 9191097020 10110206722 14443152460 18382194040 20220413444 25275516805 28886304920 40440826888 50551033610 101102067220 202204134440