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2242022412300 = 22352114315800017
BaseRepresentation
bin100000101000000010111…
…100110001000000001100
321221100001101201021002020
4200220002330301000030
5243213130214143200
64433545413130140
7320660256031446
oct40500274610014
97840041637066
102242022412300
11794922225350
12302628929950
13133563929568
147a72b98d496
153d4c0776ea0
hex20a02f3100c

2242022412300 has 144 divisors (see below), whose sum is σ = 7241211449472. Its totient is φ = 530880537600.

The previous prime is 2242022412269. The next prime is 2242022412319. The reversal of 2242022412300 is 32142202422.

It is a super-2 number, since 2×22420224123002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7758109 + ... + 8041908.

Almost surely, 22242022412300 is an apocalyptic number.

2242022412300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242022412300 is an abundant number, since it is smaller than the sum of its proper divisors (4999189037172).

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

2242022412300 is a wasteful number, since it uses less digits than its factorization.

2242022412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15800088 (or 15800081 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2242022412300 its reverse (32142202422), we get a palindrome (2274164614722).

The spelling of 2242022412300 in words is "two trillion, two hundred forty-two billion, twenty-two million, four hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 43 44 50 55 60 66 75 86 100 110 129 132 150 165 172 215 220 258 275 300 330 430 473 516 550 645 660 825 860 946 1075 1100 1290 1419 1650 1892 2150 2365 2580 2838 3225 3300 4300 4730 5676 6450 7095 9460 11825 12900 14190 23650 28380 35475 47300 70950 141900 15800017 31600034 47400051 63200068 79000085 94800102 158000170 173800187 189600204 237000255 316000340 347600374 395000425 474000510 521400561 679400731 695200748 790000850 869000935 948001020 1042801122 1185001275 1358801462 1580001700 1738001870 2038202193 2085602244 2370002550 2607002805 2717602924 3397003655 3476003740 4076404386 4345004675 4740005100 5214005610 6794007310 7473408041 8152808772 8690009350 10191010965 10428011220 13035014025 13588014620 14946816082 16985018275 17380018700 20382021930 22420224123 26070028050 29893632164 33970036550 37367040205 40764043860 44840448246 50955054825 52140056100 67940073100 74734080410 89680896492 101910109650 112101120615 149468160820 186835201025 203820219300 224202241230 373670402050 448404482460 560505603075 747340804100 1121011206150 2242022412300