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30222412002 = 232293710115493
BaseRepresentation
bin11100001001011001…
…010110100011100010
32220000020210121021200
4130021121112203202
5443343414141002
621514535102030
72116640156226
oct341131264342
986006717250
1030222412002
11118a9844502
125a35511916
132b08498633
141669bc2786
15bbd40db1c
hex7096568e2

30222412002 has 96 divisors (see below), whose sum is σ = 70264050480. Its totient is φ = 9369561600.

The previous prime is 30222412001. The next prime is 30222412019. The reversal of 30222412002 is 20021422203.

30222412002 is a `hidden beast` number, since 30 + 222 + 412 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22308708321 + 7913703681 = 149361^2 + 88959^2 .

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

It is not an unprimeable number, because it can be changed into a prime (30222412001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1942968 + ... + 1958460.

Almost surely, 230222412002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30222412002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35132025240).

30222412002 is an abundant number, since it is smaller than the sum of its proper divisors (40041638478).

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

30222412002 is a wasteful number, since it uses less digits than its factorization.

30222412002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15668 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30222412002 its reverse (20021422203), we get a palindrome (50243834205).

The spelling of 30222412002 in words is "thirty billion, two hundred twenty-two million, four hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 101 111 174 202 222 261 303 333 522 606 666 909 1073 1818 2146 2929 3219 3737 5858 6438 7474 8787 9657 11211 15493 17574 19314 22422 26361 30986 33633 46479 52722 67266 92958 108373 139437 216746 278874 325119 449297 573241 650238 898594 975357 1146482 1347891 1564793 1719723 1950714 2695782 3129586 3439446 4043673 4694379 5159169 8087346 9388758 10318338 14083137 16623989 28166274 33247978 45378997 49871967 57897341 90757994 99743934 115794682 136136991 149615901 173692023 272273982 299231802 347384046 408410973 521076069 816821946 1042152138 1679022889 3358045778 5037068667 10074137334 15111206001 30222412002