Search a number
-
+
226214482420 = 225172657250409
BaseRepresentation
bin1101001010101101101…
…1110001000111110100
3210121220021110100222201
43102223123301013310
512201241401414140
6251531013234244
722225543242313
oct3225333610764
9717807410881
10226214482420
1187a341a5903
1237a12932984
131844134aa34
14ad3d88827a
155d3ea9349a
hex34ab6f11f4

226214482420 has 48 divisors (see below), whose sum is σ = 503185873680. Its totient is φ = 85130706944.

The previous prime is 226214482399. The next prime is 226214482423. The reversal of 226214482420 is 24284412622.

It can be written as a sum of positive squares in 8 ways, for example, as 4526060176 + 221688422244 = 67276^2 + 470838^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 226214482420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226214482423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778176 + ... + 1028584.

It is an arithmetic number, because the mean of its divisors is an integer number (10483039035).

Almost surely, 2226214482420 is an apocalyptic number.

226214482420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226214482420 is an abundant number, since it is smaller than the sum of its proper divisors (276971391260).

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

226214482420 is a wasteful number, since it uses less digits than its factorization.

226214482420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253092 (or 253090 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The spelling of 226214482420 in words is "two hundred twenty-six billion, two hundred fourteen million, four hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2657 5314 10628 13285 26570 45169 53140 90338 180676 225845 250409 451690 500818 903380 1001636 1252045 2504090 4256953 5008180 8513906 17027812 21284765 42569530 85139060 665336713 1330673426 2661346852 3326683565 6653367130 11310724121 13306734260 22621448242 45242896484 56553620605 113107241210 226214482420