Search a number
-
+
168222477400 = 235219397111509
BaseRepresentation
bin1001110010101011010…
…1110100110001011000
3121002012201021021111221
42130222311310301120
510224004423234100
6205140315301424
715103465315345
oct2345265646130
9532181237457
10168222477400
116538522612a
122872944a874
1312b2b906c73
1481db9717cc
15459878201a
hex272ad74c58

168222477400 has 96 divisors (see below), whose sum is σ = 412743114000. Its totient is φ = 63586321920.

The previous prime is 168222477389. The next prime is 168222477403. The reversal of 168222477400 is 4774222861.

168222477400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168222477403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452846 + ... + 1564354.

Almost surely, 2168222477400 is an apocalyptic number.

168222477400 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 168222477400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206371557000).

168222477400 is an abundant number, since it is smaller than the sum of its proper divisors (244520636600).

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

168222477400 is a wasteful number, since it uses less digits than its factorization.

168222477400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111941 (or 111932 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 168222477400 in words is "one hundred sixty-eight billion, two hundred twenty-two million, four hundred seventy-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 397 475 760 794 950 1588 1900 1985 3176 3800 3970 7543 7940 9925 15086 15880 19850 30172 37715 39700 60344 75430 79400 111509 150860 188575 223018 301720 377150 446036 557545 754300 892072 1115090 1508600 2118671 2230180 2787725 4237342 4460360 5575450 8474684 10593355 11150900 16949368 21186710 22301800 42373420 44269073 52966775 84746840 88538146 105933550 177076292 211867100 221345365 354152584 423734200 442690730 841112387 885381460 1106726825 1682224774 1770762920 2213453650 3364449548 4205561935 4426907300 6728899096 8411123870 8853814600 16822247740 21027809675 33644495480 42055619350 84111238700 168222477400