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223906300146 = 232157617128413
BaseRepresentation
bin1101000010000111011…
…0110000000011110010
3210101221102012120011100
43100201312300003302
512132030003101041
6250510001025230
722114415102034
oct3204166600362
9711842176140
10223906300146
1186a5a2a6351
1237489925216
131816409c4c9
14aba10c9c54
155c571076b6
hex3421db00f2

223906300146 has 48 divisors (see below), whose sum is σ = 489015408024. Its totient is φ = 74039277312.

The previous prime is 223906300141. The next prime is 223906300157. The reversal of 223906300146 is 641003609322.

223906300146 is a `hidden beast` number, since 2 + 2 + 3 + 9 + 0 + 630 + 0 + 14 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 127207068921 + 96699231225 = 356661^2 + 310965^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 223906300146.

It is not an unprimeable number, because it can be changed into a prime (223906300141) 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, 1679436 + ... + 1807848.

Almost surely, 2223906300146 is an apocalyptic number.

223906300146 is an abundant number, since it is smaller than the sum of its proper divisors (265109107878).

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

223906300146 is a wasteful number, since it uses less digits than its factorization.

223906300146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129195 (or 129192 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 223906300146 its reverse (641003609322), we get a palindrome (864909909468).

The spelling of 223906300146 in words is "two hundred twenty-three billion, nine hundred six million, three hundred thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 157 314 471 617 942 1234 1413 1851 2826 3702 5553 11106 96869 128413 193738 256826 290607 385239 581214 770478 871821 1155717 1743642 2311434 20160841 40321682 60482523 79230821 120965046 158461642 181447569 237692463 362895138 475384926 713077389 1426154778 12439238897 24878477794 37317716691 74635433382 111953150073 223906300146