Search a number
-
+
226084703000 = 235313149116719
BaseRepresentation
bin1101001010001110110…
…0101100101100011000
3210121120020020220002112
43102203230230230120
512201010140444000
6251510055451452
722222406160542
oct3224354545430
9717506226075
10226084703000
1187977a14692
1237997386b88
13184204ab790
14ad2a544692
155d334aa235
hex34a3b2cb18

226084703000 has 128 divisors (see below), whose sum is σ = 573562080000. Its totient is φ = 82916467200.

The previous prime is 226084702997. The next prime is 226084703011. The reversal of 226084703000 is 307480622.

It is a super-2 number, since 2×2260847030002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 1878641 + ... + 1995359.

It is an arithmetic number, because the mean of its divisors is an integer number (4480953750).

Almost surely, 2226084703000 is an apocalyptic number.

226084703000 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 226084703000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286781040000).

226084703000 is an abundant number, since it is smaller than the sum of its proper divisors (347477377000).

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

226084703000 is a wasteful number, since it uses less digits than its factorization.

226084703000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116902 (or 116888 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 226084703000 in words is "two hundred twenty-six billion, eighty-four million, seven hundred three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 149 200 250 260 298 325 500 520 596 650 745 1000 1192 1300 1490 1625 1937 2600 2980 3250 3725 3874 5960 6500 7450 7748 9685 13000 14900 15496 18625 19370 29800 37250 38740 48425 74500 77480 96850 116719 149000 193700 233438 242125 387400 466876 484250 583595 933752 968500 1167190 1517347 1937000 2334380 2917975 3034694 4668760 5835950 6069388 7586735 11671900 12138776 14589875 15173470 17391131 23343800 29179750 30346940 34782262 37933675 58359500 60693880 69564524 75867350 86955655 116719000 139129048 151734700 173911310 189668375 226084703 303469400 347822620 379336750 434778275 452169406 695645240 758673500 869556550 904338812 1130423515 1517347000 1739113100 1808677624 2173891375 2260847030 3478226200 4347782750 4521694060 5652117575 8695565500 9043388120 11304235150 17391131000 22608470300 28260587875 45216940600 56521175750 113042351500 226084703000