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2230402258152 = 2332237118969877
BaseRepresentation
bin100000011101001110010…
…101011001010011101000
321220020001120100021021200
4200131032111121103220
5243020330434230102
64424344353004200
7320066306246145
oct40351625312350
97806046307250
102230402258152
1178a9a9a23572
12300325253660
1313243139a9c3
1479d485ab3cc
153d04053851c
hex2074e5594e8

2230402258152 has 96 divisors (see below), whose sum is σ = 6392090090880. Its totient is φ = 701126616960.

The previous prime is 2230402258141. The next prime is 2230402258159. The reversal of 2230402258152 is 2518522040322.

2230402258152 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 4 + 0 + 22 + 581 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2230402258159) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9367363 + ... + 9602514.

It is an arithmetic number, because the mean of its divisors is an integer number (66584271780).

Almost surely, 22230402258152 is an apocalyptic number.

It is an amenable number.

2230402258152 is an abundant number, since it is smaller than the sum of its proper divisors (4161687832728).

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

2230402258152 is a wasteful number, since it uses less digits than its factorization.

2230402258152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18969983 (or 18969976 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 2230402258152 its reverse (2518522040322), we get a palindrome (4748924298474).

The spelling of 2230402258152 in words is "two trillion, two hundred thirty billion, four hundred two million, two hundred fifty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 71 72 92 138 142 184 207 213 276 284 414 426 552 568 639 828 852 1278 1633 1656 1704 2556 3266 4899 5112 6532 9798 13064 14697 19596 29394 39192 58788 117576 18969877 37939754 56909631 75879508 113819262 151759016 170728893 227638524 341457786 436307171 455277048 682915572 872614342 1308921513 1346861267 1365831144 1745228684 2617843026 2693722534 3490457368 3926764539 4040583801 5235686052 5387445068 7853529078 8081167602 10471372104 10774890136 12121751403 15707058156 16162335204 24243502806 30977809141 31414116312 32324670408 48487005612 61955618282 92933427423 96974011224 123911236564 185866854846 247822473128 278800282269 371733709692 557600564538 743467419384 1115201129076 2230402258152