Search a number
-
+
67226313700 = 225271347157181
BaseRepresentation
bin111110100111000000…
…000010001111100100
320102112010011120120101
4332213000002033210
52100134414014300
650514445113444
74566634144450
oct764700021744
9212463146511
1067226313700
1126568557547
1211041b58884
136454901560
14337a4c1660
151b36d72b6a
hexfa70023e4

67226313700 has 144 divisors (see below), whose sum is σ = 183367263744. Its totient is φ = 20823206400.

The previous prime is 67226313641. The next prime is 67226313701. The reversal of 67226313700 is 731362276.

It is a self number, because there is not a number n which added to its sum of digits gives 67226313700.

It is not an unprimeable number, because it can be changed into a prime (67226313701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349110 + ... + 506290.

It is an arithmetic number, because the mean of its divisors is an integer number (1273383776).

Almost surely, 267226313700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67226313700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91683631872).

67226313700 is an abundant number, since it is smaller than the sum of its proper divisors (116140950044).

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

67226313700 is a wasteful number, since it uses less digits than its factorization.

67226313700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157262 (or 157255 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

Adding to 67226313700 its reverse (731362276), we get a palindrome (67957675976).

The spelling of 67226313700 in words is "sixty-seven billion, two hundred twenty-six million, three hundred thirteen thousand, seven hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 47 50 52 65 70 91 94 100 130 140 175 182 188 235 260 325 329 350 364 455 470 611 650 658 700 910 940 1175 1222 1300 1316 1645 1820 2275 2350 2444 3055 3290 4277 4550 4700 6110 6580 8225 8554 9100 12220 15275 16450 17108 21385 30550 32900 42770 61100 85540 106925 157181 213850 314362 427700 628724 785905 1100267 1571810 2043353 2200534 3143620 3929525 4086706 4401068 5501335 7387507 7859050 8173412 10216765 11002670 14303471 14775014 15718100 20433530 22005340 27506675 28606942 29550028 36937535 40867060 51083825 51712549 55013350 57213884 71517355 73875070 96037591 102167650 103425098 110026700 143034710 147750140 184687675 192075182 204335300 206850196 258562745 286069420 357586775 369375350 384150364 480187955 517125490 672263137 715173550 738750700 960375910 1034250980 1292813725 1344526274 1430347100 1920751820 2400939775 2585627450 2689052548 3361315685 4801879550 5171254900 6722631370 9603759100 13445262740 16806578425 33613156850 67226313700