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2231387208 = 23321922932
BaseRepresentation
bin1000010100000000…
…0100010001001000
312202111202012210200
42011000010101020
514032213342313
61005230212200
7106203323031
oct20500042110
95674665720
102231387208
11a45618266
12523354060
132973a0b7b
141724cba88
15d0d6bb73
hex85004448

2231387208 has 108 divisors (see below), whose sum is σ = 6399994185. Its totient is φ = 702243648.

The previous prime is 2231387129. The next prime is 2231387209. The reversal of 2231387208 is 8027831322.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1619418564 + 611968644 = 40242^2 + 24738^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33402.

It is a super-3 number, since 3×22313872083 (a number of 29 digits) contains 333 as substring.

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 (2231387209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7615510 + ... + 7615802.

Almost surely, 22231387208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231387208

2231387208 is an abundant number, since it is smaller than the sum of its proper divisors (4168606977).

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

2231387208 is a wasteful number, since it uses less digits than its factorization.

2231387208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2231387208 is about 47237.5614103861. The cubic root of 2231387208 is about 1306.7474050602.

The spelling of 2231387208 in words is "two billion, two hundred thirty-one million, three hundred eighty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 293 342 361 456 586 684 722 879 1083 1172 1368 1444 1758 2166 2344 2637 2888 3249 3516 4332 5274 5567 6498 7032 8664 10548 11134 12996 16701 21096 22268 25992 33402 44536 50103 66804 85849 100206 105773 133608 171698 200412 211546 257547 317319 343396 400824 423092 515094 634638 686792 772641 846184 951957 1030188 1269276 1545282 1631131 1903914 2060376 2538552 3090564 3262262 3807828 4893393 6181128 6524524 7615656 9786786 13049048 14680179 19573572 29360358 30991489 39147144 58720716 61982978 92974467 117441432 123965956 185948934 247931912 278923401 371897868 557846802 743795736 1115693604 2231387208