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22212202112002 = 2741432193108439
BaseRepresentation
bin1010000110011101011100…
…11010101010010000000010
32220122110120120000120000101
411003032232122222100002
510402411042220041002
6115124051134513014
74451531034512350
oct503165632522002
986573516016011
1022212202112002
117094162026401
1225a8a5966576a
13c517a8b45496
1456b10d5bc7d0
15287bcc67d587
hex1433ae6aa402

22212202112002 has 96 divisors (see below), whose sum is σ = 40142312259840. Its totient is φ = 9024262410240.

The previous prime is 22212202111997. The next prime is 22212202112011. The reversal of 22212202112002 is 20021120221222.

It is a super-2 number, since 2×222122021120022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204781699 + ... + 204890137.

It is an arithmetic number, because the mean of its divisors is an integer number (418149086040).

Almost surely, 222212202112002 is an apocalyptic number.

22212202112002 is a deficient number, since it is larger than the sum of its proper divisors (17930110147838).

22212202112002 is a wasteful number, since it uses less digits than its factorization.

22212202112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108768 (or 108725 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22212202112002 its reverse (20021120221222), we get a palindrome (42233322333224).

The spelling of 22212202112002 in words is "twenty-two trillion, two hundred twelve billion, two hundred two million, one hundred twelve thousand, two".

Divisors: 1 2 7 14 41 43 82 86 193 287 301 386 574 602 1351 1763 1849 2702 3526 3698 7913 8299 12341 12943 15826 16598 24682 25886 55391 58093 75809 108439 110782 116186 151618 216878 340259 356857 530663 680518 713714 759073 1061326 1518146 2381813 2497999 4445999 4662877 4763626 4995998 8891998 9325754 14631137 20928727 29262274 31121993 32640139 41857454 62243986 65280278 102417959 146501089 191177957 200503711 204835918 293002178 382355914 401007422 858077807 899935261 1338245699 1403525977 1716155614 1799870522 2676491398 2807051954 6006544649 6299546827 8220652151 12013089298 12599093654 16441304302 36897345701 38697216223 57544565057 73794691402 77394432446 115089130114 258281419907 270880513561 516562839814 541761027122 1586585865143 3173171730286 11106101056001 22212202112002