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150220020 = 22355397487
BaseRepresentation
bin10001111010000…
…10110011110100
3101110122222010110
420331002303310
5301424020040
622523423020
73502564146
oct1075026364
9343588113
10150220020
1177882585
1242384a70
13251780b2
1415d44c96
15d2c4980
hex8f42cf4

150220020 has 96 divisors (see below), whose sum is σ = 433859328. Its totient is φ = 38817792.

The previous prime is 150220019. The next prime is 150220033. The reversal of 150220020 is 20022051.

150220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 150219978 and 150220005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308217 + ... + 308703.

It is an arithmetic number, because the mean of its divisors is an integer number (4519368).

Almost surely, 2150220020 is an apocalyptic number.

150220020 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 150220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216929664).

150220020 is an abundant number, since it is smaller than the sum of its proper divisors (283639308).

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

150220020 is a wasteful number, since it uses less digits than its factorization.

150220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 150220020 is about 12256.4277014145. The cubic root of 150220020 is about 531.5889422756.

Adding to 150220020 its reverse (20022051), we get a palindrome (170242071).

The spelling of 150220020 in words is "one hundred fifty million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 97 106 159 194 212 265 291 318 388 485 487 530 582 636 795 970 974 1060 1164 1455 1461 1590 1940 1948 2435 2910 2922 3180 4870 5141 5820 5844 7305 9740 10282 14610 15423 20564 25705 25811 29220 30846 47239 51410 51622 61692 77115 77433 94478 102820 103244 129055 141717 154230 154866 188956 236195 258110 283434 308460 309732 387165 472390 516220 566868 708585 774330 944780 1417170 1548660 2503667 2834340 5007334 7511001 10014668 12518335 15022002 25036670 30044004 37555005 50073340 75110010 150220020