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22225252012000 = 255310357536479
BaseRepresentation
bin1010000110110101110000…
…10000000100111111100000
32220200201021000201011101221
411003122320100010333200
510403114304003341000
6115134050111304424
74452502315030132
oct503327020047740
986621230634357
1022225252012000
117099749393424
1225ab49bb1b114
13c52aa8668bbb
1456b9ca817052
152881e318a61a
hex1436b8404fe0

22225252012000 has 96 divisors (see below), whose sum is σ = 54612818507520. Its totient is φ = 8889225868800.

The previous prime is 22225252011997. The next prime is 22225252012057. The reversal of 22225252012000 is 21025252222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 41159761 + ... + 41696239.

It is an arithmetic number, because the mean of its divisors is an integer number (568883526120).

Almost surely, 222225252012000 is an apocalyptic number.

22225252012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22225252012000 is an abundant number, since it is smaller than the sum of its proper divisors (32387566495520).

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

22225252012000 is a wasteful number, since it uses less digits than its factorization.

22225252012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546861 (or 546843 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 22225252012000 its reverse (21025252222), we get a palindrome (22246277264222).

The spelling of 22225252012000 in words is "twenty-two trillion, two hundred twenty-five billion, two hundred fifty-two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 10357 20714 41428 51785 82856 103570 165712 207140 258925 331424 414280 517850 536479 828560 1035700 1072958 1294625 1657120 2071400 2145916 2589250 2682395 4142800 4291832 5178500 5364790 8285600 8583664 10357000 10729580 13411975 17167328 20714000 21459160 26823950 41428000 42918320 53647900 67059875 85836640 107295800 134119750 214591600 268239500 429183200 536479000 1072958000 2145916000 5556313003 11112626006 22225252012 27781565015 44450504024 55563130030 88901008048 111126260060 138907825075 177802016096 222252520120 277815650150 444505040240 555631300300 694539125375 889010080480 1111262600600 1389078250750 2222525201200 2778156501500 4445050402400 5556313003000 11112626006000 22225252012000