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151027422 = 237131753307
BaseRepresentation
bin10010000000001…
…11111011011110
3101112011222200020
421000013323132
5302130334142
622553013010
73512466120
oct1100077336
9345158606
10151027422
1178284157
12426b4166
132539b750
14160b5210
15d3d3cec
hex9007ede

151027422 has 128 divisors (see below), whose sum is σ = 402361344. Its totient is φ = 36661248.

The previous prime is 151027379. The next prime is 151027423. The reversal of 151027422 is 224720151.

151027422 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 a junction number, because it is equal to n+sod(n) for n = 151027392 and 151027401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151027423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 491793 + ... + 492099.

It is an arithmetic number, because the mean of its divisors is an integer number (3143448).

Almost surely, 2151027422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151027422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672).

151027422 is an abundant number, since it is smaller than the sum of its proper divisors (251333922).

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

151027422 is a wasteful number, since it uses less digits than its factorization.

151027422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 151027422 is about 12289.3214621475. The cubic root of 151027422 is about 532.5396351287.

Adding to 151027422 its reverse (224720151), we get a palindrome (375747573).

The spelling of 151027422 in words is "one hundred fifty-one million, twenty-seven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 53 78 91 102 106 119 159 182 221 238 273 307 318 357 371 442 546 614 663 689 714 742 901 921 1113 1326 1378 1547 1802 1842 2067 2149 2226 2703 3094 3991 4134 4298 4641 4823 5219 5406 6307 6447 7982 9282 9646 10438 11713 11973 12614 12894 14469 15657 16271 18921 23426 23946 27937 28938 31314 32542 35139 36533 37842 48813 55874 67847 70278 73066 81991 83811 97626 109599 113897 135694 163982 167622 203541 211523 219198 227794 245973 276607 341691 407082 423046 474929 491946 553214 634569 683382 829821 949858 1269138 1424787 1480661 1659642 1936249 2849574 2961322 3595891 3872498 4441983 5808747 7191782 8883966 10787673 11617494 21575346 25171237 50342474 75513711 151027422