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22012245510200 = 23521136727263123
BaseRepresentation
bin1010000000101001000000…
…00100110000100000111000
32212221100110020101201122122
411000110200010300200320
510341122034322311300
6114452141434540412
74431221651445611
oct500244004604070
985840406351578
1022012245510200
117017382806990
122576154597708
13c3899080c81a
14561581196c08
152828c7e2cc85
hex140520130838

22012245510200 has 96 divisors (see below), whose sum is σ = 55983189346560. Its totient is φ = 7982642121600.

The previous prime is 22012245510139. The next prime is 22012245510209. The reversal of 22012245510200 is 201554221022.

It is a self number, because there is not a number n which added to its sum of digits gives 22012245510200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012245510209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12824162 + ... + 14438961.

It is an arithmetic number, because the mean of its divisors is an integer number (583158222360).

Almost surely, 222012245510200 is an apocalyptic number.

22012245510200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012245510200 is an abundant number, since it is smaller than the sum of its proper divisors (33970943836360).

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

22012245510200 is a wasteful number, since it uses less digits than its factorization.

22012245510200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27263517 (or 27263508 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 22012245510200 its reverse (201554221022), we get a palindrome (22213799731222).

The spelling of 22012245510200 in words is "twenty-two trillion, twelve billion, two hundred forty-five million, five hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 367 440 550 734 1100 1468 1835 2200 2936 3670 4037 7340 8074 9175 14680 16148 18350 20185 32296 36700 40370 73400 80740 100925 161480 201850 403700 807400 27263123 54526246 109052492 136315615 218104984 272631230 299894353 545262460 599788706 681578075 1090524920 1199577412 1363156150 1499471765 2399154824 2726312300 2998943530 5452624600 5997887060 7497358825 10005566141 11995774120 14994717650 20011132282 29989435300 40022264564 50027830705 59978870600 80044529128 100055661410 110061227551 200111322820 220122455102 250139153525 400222645640 440244910204 500278307050 550306137755 880489820408 1000556614100 1100612275510 2001113228200 2201224551020 2751530688775 4402449102040 5503061377550 11006122755100 22012245510200