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149221020 = 2235131131693
BaseRepresentation
bin10001110010011…
…10111010011100
3101101210012202110
420321032322130
5301200033040
622450154020
73461233464
oct1071167234
9341705673
10149221020
117725aa63
1241b82910
1324bb8480
1415b64ba4
15d178980
hex8e4ee9c

149221020 has 96 divisors (see below), whose sum is σ = 454208832. Its totient is φ = 36384768.

The previous prime is 149220997. The next prime is 149221021. The reversal of 149221020 is 20122941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149221021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87294 + ... + 88986.

It is an arithmetic number, because the mean of its divisors is an integer number (4731342).

Almost surely, 2149221020 is an apocalyptic number.

149221020 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 149221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227104416).

149221020 is an abundant number, since it is smaller than the sum of its proper divisors (304987812).

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

149221020 is a wasteful number, since it uses less digits than its factorization.

149221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 149221020 is about 12215.6055928472. The cubic root of 149221020 is about 530.4079213912.

Adding to 149221020 its reverse (20122941), we get a palindrome (169343961).

The spelling of 149221020 in words is "one hundred forty-nine million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 113 130 156 195 226 260 339 390 452 565 678 780 1130 1356 1469 1693 1695 2260 2938 3386 3390 4407 5079 5876 6772 6780 7345 8465 8814 10158 14690 16930 17628 20316 22009 22035 25395 29380 33860 44018 44070 50790 66027 88036 88140 101580 110045 132054 191309 220090 264108 330135 382618 440180 573927 660270 765236 956545 1147854 1320540 1913090 2295708 2487017 2869635 3826180 4974034 5739270 7461051 9948068 11478540 12435085 14922102 24870170 29844204 37305255 49740340 74610510 149221020