Search a number
-
+
226152362013570 = 23353172642275523
BaseRepresentation
bin110011011010111100110011…
…001100111111001110000010
31002122201221202221122100111000
4303122330303030333032002
5214120240014133413240
62120552543313232430
765430653232525036
oct6332746314771602
91078657687570430
10226152362013570
1166071750638713
1221445a14562716
1399260cb62a605
143dbbb92dd41c6
151b22b1e00d430
hexcdaf3333f382

226152362013570 has 64 divisors (see below), whose sum is σ = 604975403975040. Its totient is φ = 60117052676544.

The previous prime is 226152362013553. The next prime is 226152362013623. The reversal of 226152362013570 is 75310263251622.

226152362013570 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 5 + 2 + 3 + 62 + 0 + 13 + 570 = 666.

It is a super-2 number, since 2×2261523620135702 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1321052172 + ... + 1321223351.

It is an arithmetic number, because the mean of its divisors is an integer number (9452740687110).

Almost surely, 2226152362013570 is an apocalyptic number.

226152362013570 is an abundant number, since it is smaller than the sum of its proper divisors (378823041961470).

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

226152362013570 is a wasteful number, since it uses less digits than its factorization.

226152362013570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642275856 (or 2642275850 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 226152362013570 in words is "two hundred twenty-six trillion, one hundred fifty-two billion, three hundred sixty-two million, thirteen thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 317 634 951 1585 1902 2853 3170 4755 5706 8559 9510 14265 17118 28530 42795 85590 2642275523 5284551046 7926826569 13211377615 15853653138 23780479707 26422755230 39634132845 47560959414 71341439121 79268265690 118902398535 142682878242 237804797070 356707195605 713414391210 837601340791 1675202681582 2512804022373 4188006703955 5025608044746 7538412067119 8376013407910 12564020111865 15076824134238 22615236201357 25128040223730 37692060335595 45230472402714 75384120671190 113076181006785 226152362013570