Search a number
-
+
220154040 = 23325797741
BaseRepresentation
bin11010001111101…
…00100010111000
3120100020222120100
431013310202320
5422324412130
633502355400
75312164341
oct1507644270
9510228510
10220154040
111032a8a97
126188bb60
13367c2882
142134b0c8
15144dac60
hexd1f48b8

220154040 has 96 divisors (see below), whose sum is σ = 724651200. Its totient is φ = 57957120.

The previous prime is 220154017. The next prime is 220154041. The reversal of 220154040 is 40451022.

220154040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220154041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24570 + ... + 32310.

It is an arithmetic number, because the mean of its divisors is an integer number (7548450).

Almost surely, 2220154040 is an apocalyptic number.

220154040 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 220154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362325600).

220154040 is an abundant number, since it is smaller than the sum of its proper divisors (504497160).

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

220154040 is a wasteful number, since it uses less digits than its factorization.

220154040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7837 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 220154040 is about 14837.5887528938. The cubic root of 220154040 is about 603.8219363123.

The spelling of 220154040 in words is "two hundred twenty million, one hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 5688 7110 7741 9480 14220 15482 23223 28440 30964 38705 46446 61928 69669 77410 92892 116115 139338 154820 185784 232230 278676 309640 348345 464460 557352 611539 696690 928920 1223078 1393380 1834617 2446156 2786760 3057695 3669234 4892312 5503851 6115390 7338468 9173085 11007702 12230780 14676936 18346170 22015404 24461560 27519255 36692340 44030808 55038510 73384680 110077020 220154040