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149222193120 = 2532572111323643
BaseRepresentation
bin1000101011111001010…
…1011111011111100000
3112021011112212211102100
42022332111133133200
54421101340134440
6152315101250400
713531602466500
oct2127625373740
9467145784370
10149222193120
1158315046350
1224b06263a00
13110c1399cc0
147318361a00
153d3568d230
hex22be55f7e0

149222193120 has 1728 divisors, whose sum is σ = 727304707584. Its totient is φ = 27335024640.

The previous prime is 149222193089. The next prime is 149222193137. The reversal of 149222193120 is 21391222941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 232071519 + ... + 232072161.

It is an arithmetic number, because the mean of its divisors is an integer number (420893928).

Almost surely, 2149222193120 is an apocalyptic number.

149222193120 is a gapful number since it is divisible by the number (10) 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 149222193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363652353792).

149222193120 is an abundant number, since it is smaller than the sum of its proper divisors (578082514464).

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

149222193120 is a wasteful number, since it uses less digits than its factorization.

149222193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 149222193120 in words is "one hundred forty-nine billion, two hundred twenty-two million, one hundred ninety-three thousand, one hundred twenty".