Search a number
-
+
23355050320 = 2457231192191
BaseRepresentation
bin10101110000000100…
…011100100101010000
32020021122122111001201
4111300010130211100
5340312343102240
614421255440544
71454521436500
oct256004344520
966248574051
1023355050320
1199a5353a88
124639686154
1322827c3004
1411b7b11a00
1591a594d9a
hex57011c950

23355050320 has 120 divisors (see below), whose sum is σ = 65203826688. Its totient is φ = 7749100800.

The previous prime is 23355050317. The next prime is 23355050339. The reversal of 23355050320 is 2305055332.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 25425 + ... + 217615.

Almost surely, 223355050320 is an apocalyptic number.

23355050320 is a gapful number since it is divisible by the number (20) 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 23355050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32601913344).

23355050320 is an abundant number, since it is smaller than the sum of its proper divisors (41848776368).

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

23355050320 is a wasteful number, since it uses less digits than its factorization.

23355050320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192249 (or 192236 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 28.

The spelling of 23355050320 in words is "twenty-three billion, three hundred fifty-five million, fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 392 434 490 496 560 620 784 868 980 1085 1240 1519 1736 1960 2170 2480 3038 3472 3920 4340 6076 7595 8680 12152 15190 17360 24304 30380 60760 121520 192191 384382 768764 960955 1345337 1537528 1921910 2690674 3075056 3843820 5381348 5957921 6726685 7687640 9417359 10762696 11915842 13453370 15375280 18834718 21525392 23831684 26906740 29789605 37669436 41705447 47086795 47663368 53813480 59579210 75338872 83410894 94173590 95326736 107626960 119158420 150677744 166821788 188347180 208527235 238316840 291938129 333643576 376694360 417054470 476633680 583876258 667287152 753388720 834108940 1167752516 1459690645 1668217880 2335505032 2919381290 3336435760 4671010064 5838762580 11677525160 23355050320