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2223320114120 = 235731131434067
BaseRepresentation
bin100000010110101000001…
…101001010001111001000
321212112210000001002001212
4200112220031022033020
5242411324422122440
64421213522032252
7316425642104000
oct40265015121710
97775700032055
102223320114120
117879a5273976
122baa894a8688
13131873063831
1479875b8b000
153cc788e5465
hex205a834a3c8

2223320114120 has 128 divisors (see below), whose sum is σ = 5885415072000. Its totient is φ = 755534803968.

The previous prime is 2223320114107. The next prime is 2223320114149. The reversal of 2223320114120 is 214110233222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833327 + ... + 2267393.

It is an arithmetic number, because the mean of its divisors is an integer number (45979805250).

Almost surely, 22223320114120 is an apocalyptic number.

2223320114120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223320114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942707536000).

2223320114120 is an abundant number, since it is smaller than the sum of its proper divisors (3662094957880).

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

2223320114120 is a wasteful number, since it uses less digits than its factorization.

2223320114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434212 (or 1434194 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2223320114120 its reverse (214110233222), we get a palindrome (2437430347342).

The spelling of 2223320114120 in words is "two trillion, two hundred twenty-three billion, three hundred twenty million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 113 140 196 226 245 280 343 392 452 490 565 686 791 904 980 1130 1372 1582 1715 1960 2260 2744 3164 3430 3955 4520 5537 6328 6860 7910 11074 13720 15820 22148 27685 31640 38759 44296 55370 77518 110740 155036 193795 221480 310072 387590 775180 1434067 1550360 2868134 5736268 7170335 10038469 11472536 14340670 20076938 28681340 40153876 50192345 57362680 70269283 80307752 100384690 140538566 162049571 200769380 281077132 324099142 351346415 401538760 491884981 562154264 648198284 702692830 810247855 983769962 1134346997 1296396568 1405385660 1620495710 1967539924 2268693994 2459424905 2810771320 3240991420 3935079848 4537387988 4918849810 5671734985 6481982840 7940428979 9074775976 9837699620 11343469970 15880857958 19675399240 22686939940 31761715916 39702144895 45373879880 55583002853 63523431832 79404289790 111166005706 158808579580 222332011412 277915014265 317617159160 444664022824 555830028530 1111660057060 2223320114120