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153213500 = 22531189313
BaseRepresentation
bin10010010000111…
…01101000111100
3101200022001102002
421020131220330
5303210313000
623111521432
73540202406
oct1110355074
9350261362
10153213500
1179537630
1243389278
132598579b
14164c3b76
15d6b68d5
hex921da3c

153213500 has 96 divisors (see below), whose sum is σ = 370319040. Its totient is φ = 54912000.

The previous prime is 153213497. The next prime is 153213521. The reversal of 153213500 is 5312351.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489344 + ... + 489656.

It is an arithmetic number, because the mean of its divisors is an integer number (3857490).

Almost surely, 2153213500 is an apocalyptic number.

153213500 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 153213500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185159520).

153213500 is an abundant number, since it is smaller than the sum of its proper divisors (217105540).

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

153213500 is a wasteful number, since it uses less digits than its factorization.

153213500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 153213500 is about 12377.9440942347. The cubic root of 153213500 is about 535.0967886143.

Adding to 153213500 its reverse (5312351), we get a palindrome (158525851).

The spelling of 153213500 in words is "one hundred fifty-three million, two hundred thirteen thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 125 178 220 250 275 313 356 445 500 550 626 890 979 1100 1252 1375 1565 1780 1958 2225 2750 3130 3443 3916 4450 4895 5500 6260 6886 7825 8900 9790 11125 13772 15650 17215 19580 22250 24475 27857 31300 34430 39125 44500 48950 55714 68860 78250 86075 97900 111428 122375 139285 156500 172150 244750 278570 306427 344300 430375 489500 557140 612854 696425 860750 1225708 1392850 1532135 1721500 2785700 3064270 3482125 6128540 6964250 7660675 13928500 15321350 30642700 38303375 76606750 153213500