Search a number
-
+
2276131837530 = 2351737193624983
BaseRepresentation
bin100001000111110100000…
…001111001011001011010
322001121002112121121002210
4201013310001321121122
5244243004222300110
64501350204335550
7323305445253045
oct41076401713132
98047075547083
102276131837530
117a83360a1381
12309167b445b6
1313683b4a6905
147c245ab3c5c
153e31a03d520
hex211f407965a

2276131837530 has 128 divisors (see below), whose sum is σ = 5971167134208. Its totient is φ = 552944074752.

The previous prime is 2276131837501. The next prime is 2276131837571. The reversal of 2276131837530 is 357381316722.

It is a super-2 number, since 2×22761318375302 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2276131837530.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3329419 + ... + 3954401.

It is an arithmetic number, because the mean of its divisors is an integer number (46649743236).

Almost surely, 22276131837530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2276131837530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985583567104).

2276131837530 is an abundant number, since it is smaller than the sum of its proper divisors (3695035296678).

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

2276131837530 is a wasteful number, since it uses less digits than its factorization.

2276131837530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625240.

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 2276131837530 in words is "two trillion, two hundred seventy-six billion, one hundred thirty-one million, eight hundred thirty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 193 222 255 370 386 510 555 579 629 965 1110 1158 1258 1887 1930 2895 3145 3281 3774 5790 6290 6562 7141 9435 9843 14282 16405 18870 19686 21423 32810 35705 42846 49215 71410 98430 107115 121397 214230 242794 364191 606985 624983 728382 1213970 1249966 1820955 1874949 3124915 3641910 3749898 6249830 9374745 10624711 18749490 21249422 23124371 31874133 46248742 53123555 63748266 69373113 106247110 115621855 120621719 138746226 159370665 231243710 241243438 318741330 346865565 361865157 393114307 603108595 693731130 723730314 786228614 1179342921 1206217190 1809325785 1965571535 2050569223 2358685842 3618651570 3931143070 4101138446 4463003603 5896714605 6151707669 8926007206 10252846115 11793429210 12303415338 13389010809 20505692230 22315018015 26778021618 30758538345 44630036030 61517076690 66945054045 75871061251 133890108090 151742122502 227613183753 379355306255 455226367506 758710612510 1138065918765 2276131837530