Search a number
-
+
153820212 = 223721320123
BaseRepresentation
bin10010010101100…
…01110000110100
3101201102212122220
421022301300310
5303334221322
623132522340
73545310300
oct1112616064
9351385586
10153820212
1179911447
12436203b0
1325b389a0
1416600d00
15d78655c
hex92b1c34

153820212 has 72 divisors (see below), whose sum is σ = 449650656. Its totient is φ = 40565952.

The previous prime is 153820187. The next prime is 153820253. The reversal of 153820212 is 212028351.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2418 + ... + 17705.

It is an arithmetic number, because the mean of its divisors is an integer number (6245148).

Almost surely, 2153820212 is an apocalyptic number.

153820212 is a gapful number since it is divisible by the number (12) 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 153820212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224825328).

153820212 is an abundant number, since it is smaller than the sum of its proper divisors (295830444).

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

153820212 is a wasteful number, since it uses less digits than its factorization.

153820212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20157 (or 20148 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 153820212 is about 12402.4276655823. The cubic root of 153820212 is about 535.8021704400.

Adding to 153820212 its reverse (212028351), we get a palindrome (365848563).

The spelling of 153820212 in words is "one hundred fifty-three million, eight hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7644 20123 40246 60369 80492 120738 140861 241476 261599 281722 422583 523198 563444 784797 845166 986027 1046396 1569594 1690332 1831193 1972054 2958081 3139188 3662386 3944108 5493579 5916162 7324772 10987158 11832324 12818351 21974316 25636702 38455053 51273404 76910106 153820212