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152400222 = 23213719173
BaseRepresentation
bin10010001010101…
…11000101011110
3101121202201210200
421011113011132
5303003301342
623042244330
73530244342
oct1105270536
9347681720
10152400222
11790315a7
12430566a6
132575c560
1416351622
15d5a594c
hex915715e

152400222 has 48 divisors (see below), whose sum is σ = 360648288. Its totient is φ = 46226880.

The previous prime is 152400211. The next prime is 152400233. The reversal of 152400222 is 222004251.

152400222 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152400211) and next prime (152400233).

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 = 152400195 and 152400204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12028 + ... + 21200.

It is an arithmetic number, because the mean of its divisors is an integer number (7513506).

Almost surely, 2152400222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152400222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180324144).

152400222 is an abundant number, since it is smaller than the sum of its proper divisors (208248066).

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

152400222 is a wasteful number, since it uses less digits than its factorization.

152400222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9265 (or 9262 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 152400222 is about 12345.0484810713. The cubic root of 152400222 is about 534.1483196973.

Adding to 152400222 its reverse (222004251), we get a palindrome (374404473).

The spelling of 152400222 in words is "one hundred fifty-two million, four hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1278 1846 2769 5538 8307 9173 16614 18346 27519 55038 82557 119249 165114 238498 357747 651283 715494 1073241 1302566 1953849 2146482 3907698 5861547 8466679 11723094 16933358 25400037 50800074 76200111 152400222