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2331400032 = 2532134713249
BaseRepresentation
bin1000101011110110…
…0101011101100000
320000110221101121100
42022331211131200
514233314300112
61023201554400
7111526400433
oct21275453540
96013841540
102331400032
11a97018395
12550945a00
132b201a460
141818c381a
15d9a252dc
hex8af65760

2331400032 has 144 divisors (see below), whose sum is σ = 7292376000. Its totient is φ = 702038016.

The previous prime is 2331399989. The next prime is 2331400033. The reversal of 2331400032 is 2300041332.

2331400032 is a `hidden beast` number, since 233 + 1 + 400 + 0 + 32 = 666.

2331400032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23314000322 = 10870852218419202048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2331399978 and 2331400014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331400033) 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, 169344 + ... + 182592.

It is an arithmetic number, because the mean of its divisors is an integer number (50641500).

Almost surely, 22331400032 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 2331400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646188000).

2331400032 is an abundant number, since it is smaller than the sum of its proper divisors (4960975968).

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

2331400032 is a wasteful number, since it uses less digits than its factorization.

2331400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13325 (or 13314 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2331400032 is about 48284.5734370720. The cubic root of 2331400032 is about 1325.9859815748.

Adding to 2331400032 its reverse (2300041332), we get a palindrome (4631441364).

The spelling of 2331400032 in words is "two billion, three hundred thirty-one million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 47 48 52 72 78 94 96 104 117 141 144 156 188 208 234 282 288 312 376 416 423 468 564 611 624 752 846 936 1128 1222 1248 1504 1692 1833 1872 2256 2444 3384 3666 3744 4512 4888 5499 6768 7332 9776 10998 13249 13536 14664 19552 21996 26498 29328 39747 43992 52996 58656 79494 87984 105992 119241 158988 172237 175968 211984 238482 317976 344474 423968 476964 516711 622703 635952 688948 953928 1033422 1245406 1271904 1377896 1550133 1868109 1907856 2066844 2490812 2755792 3100266 3736218 3815712 4133688 4981624 5511584 5604327 6200532 7472436 8095139 8267376 9963248 11208654 12401064 14944872 16190278 16534752 19926496 22417308 24285417 24802128 29889744 32380556 44834616 48570834 49604256 59779488 64761112 72856251 89669232 97141668 129522224 145712502 179338464 194283336 259044448 291425004 388566672 582850008 777133344 1165700016 2331400032