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2234024214120 = 233352068540939
BaseRepresentation
bin100000100000100110001…
…110000011111001101000
321220120101222200200211000
4200200212032003321220
5243100240144322440
64430144020035000
7320255126334426
oct40404616037150
97816358620730
102234024214120
11791498478706
12300b76232a60
1313288a89760a
147a1ad634116
153d1a34d5730
hex20826383e68

2234024214120 has 64 divisors (see below), whose sum is σ = 7446747384000. Its totient is φ = 595739790144.

The previous prime is 2234024214047. The next prime is 2234024214137. The reversal of 2234024214120 is 214124204322.

It is a happy number.

2234024214120 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 0 + 242 + 1 + 412 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034269390 + ... + 1034271549.

It is an arithmetic number, because the mean of its divisors is an integer number (116355427875).

Almost surely, 22234024214120 is an apocalyptic number.

2234024214120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2234024214120 is an abundant number, since it is smaller than the sum of its proper divisors (5212723169880).

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

2234024214120 is a wasteful number, since it uses less digits than its factorization.

2234024214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068540959 (or 2068540949 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2234024214120 its reverse (214124204322), we get a palindrome (2448148418442).

The spelling of 2234024214120 in words is "two trillion, two hundred thirty-four billion, twenty-four million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2068540939 4137081878 6205622817 8274163756 10342704695 12411245634 16548327512 18616868451 20685409390 24822491268 31028114085 37233736902 41370818780 49644982536 55850605353 62056228170 74467473804 82741637560 93084342255 111701210706 124112456340 148934947608 186168684510 223402421412 248224912680 279253026765 372337369020 446804842824 558506053530 744674738040 1117012107060 2234024214120