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22553202150 = 23252173195101
BaseRepresentation
bin10101000000010001…
…101000110111100110
32011012202211101011100
4111000101220313212
5332142104432100
614205533220530
71425614024643
oct250021506746
964182741140
1022553202150
119623770646
124455031746
132185643b3b
14113d424dca
158beea5400
hex540468de6

22553202150 has 144 divisors (see below), whose sum is σ = 66227511168. Its totient is φ = 5477760000.

The previous prime is 22553202149. The next prime is 22553202169. The reversal of 22553202150 is 5120235522.

22553202150 is a `hidden beast` number, since 22 + 553 + 20 + 21 + 50 = 666.

22553202150 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189600 + ... + 284700.

It is an arithmetic number, because the mean of its divisors is an integer number (459913272).

Almost surely, 222553202150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22553202150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33113755584).

22553202150 is an abundant number, since it is smaller than the sum of its proper divisors (43674309018).

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

22553202150 is a wasteful number, since it uses less digits than its factorization.

22553202150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95167 (or 95159 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 22553202150 its reverse (5120235522), we get a palindrome (27673437672).

The spelling of 22553202150 in words is "twenty-two billion, five hundred fifty-three million, two hundred two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 31 34 45 50 51 62 75 85 90 93 102 150 153 155 170 186 225 255 279 306 310 425 450 465 510 527 558 765 775 850 930 1054 1275 1395 1530 1550 1581 2325 2550 2635 2790 3162 3825 4650 4743 5270 6975 7650 7905 9486 13175 13950 15810 23715 26350 39525 47430 79050 95101 118575 190202 237150 285303 475505 570606 855909 951010 1426515 1616717 1711818 2377525 2853030 2948131 3233434 4279545 4755050 4850151 5896262 7132575 8083585 8559090 8844393 9700302 14265150 14550453 14740655 16167170 17688786 21397725 24250755 26533179 29100906 29481310 40417925 42795450 44221965 48501510 50118227 53066358 72752265 73703275 80835850 88443930 100236454 121253775 132665895 145504530 147406550 150354681 221109825 242507550 250591135 265331790 300709362 363761325 442219650 451064043 501182270 663329475 727522650 751773405 902128086 1252955675 1326658950 1503546810 2255320215 2505911350 3758867025 4510640430 7517734050 11276601075 22553202150