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152101422 = 233111913477
BaseRepresentation
bin10010001000011…
…10001000101110
3101121012112221000
421010032020232
5302414221142
623032021130
73524561244
oct1104161056
9347175830
10152101422
1178948060
1242b317a6
1325686555
14162b4794
15d54714c
hex910e22e

152101422 has 64 divisors (see below), whose sum is σ = 388166400. Its totient is φ = 43662240.

The previous prime is 152101409. The next prime is 152101459. The reversal of 152101422 is 224101251.

152101422 is a `hidden beast` number, since 1 + 521 + 0 + 142 + 2 = 666.

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 = 152101395 and 152101404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4548 + ... + 18024.

It is an arithmetic number, because the mean of its divisors is an integer number (6065100).

Almost surely, 2152101422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152101422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194083200).

152101422 is an abundant number, since it is smaller than the sum of its proper divisors (236064978).

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

152101422 is a wasteful number, since it uses less digits than its factorization.

152101422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13518 (or 13512 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 152101422 is about 12332.9405252762. The cubic root of 152101422 is about 533.7990027535.

Adding to 152101422 its reverse (224101251), we get a palindrome (376202673).

The spelling of 152101422 in words is "one hundred fifty-two million, one hundred one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 11286 13477 26954 40431 80862 121293 148247 242586 256063 296494 363879 444741 512126 727758 768189 889482 1334223 1536378 2304567 2668446 2816693 4002669 4609134 5633386 6913701 8005338 8450079 13827402 16900158 25350237 50700474 76050711 152101422