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149219616 = 253713192931
BaseRepresentation
bin10001110010011…
…10100100100000
3101101210010211110
420321032210200
5301200011431
622450143320
73461226420
oct1071164440
9341703743
10149219616
11772599a7
1241b81b40
1324bb7940
1415b64480
15d178346
hex8e4e920

149219616 has 384 divisors, whose sum is σ = 541900800. Its totient is φ = 34836480.

The previous prime is 149219573. The next prime is 149219617. The reversal of 149219616 is 616912941.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149219617) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4813521 + ... + 4813551.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2149219616 is an apocalyptic number.

149219616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149219616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270950400).

149219616 is an abundant number, since it is smaller than the sum of its proper divisors (392681184).

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

149219616 is a wasteful number, since it uses less digits than its factorization.

149219616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 149219616 is about 12215.5481252378. The cubic root of 149219616 is about 530.4062578743.

The spelling of 149219616 in words is "one hundred forty-nine million, two hundred nineteen thousand, six hundred sixteen".