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2264218950 = 2352721718121
BaseRepresentation
bin1000011011110101…
…0011110101000110
312211210112020111010
42012331103311012
514114120001300
61012402023050
7110052354300
oct20675236506
95753466433
102264218950
11a62102234
12532347a86
132a1127a36
141769d6970
15d3ba4a50
hex86f53d46

2264218950 has 144 divisors (see below), whose sum is σ = 6916659984. Its totient is φ = 487065600.

The previous prime is 2264218927. The next prime is 2264218981. The reversal of 2264218950 is 598124622.

It is a junction number, because it is equal to n+sod(n) for n = 2264218899 and 2264218908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115890 + ... + 134010.

It is an arithmetic number, because the mean of its divisors is an integer number (48032361).

Almost surely, 22264218950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264218950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458329992).

2264218950 is an abundant number, since it is smaller than the sum of its proper divisors (4652441034).

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

2264218950 is a wasteful number, since it uses less digits than its factorization.

2264218950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18167 (or 18155 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2264218950 is about 47583.8097465934. The cubic root of 2264218950 is about 1313.1252132417.

The spelling of 2264218950 in words is "two billion, two hundred sixty-four million, two hundred eighteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 25 30 34 35 42 49 50 51 70 75 85 98 102 105 119 147 150 170 175 210 238 245 255 294 350 357 425 490 510 525 595 714 735 833 850 1050 1190 1225 1275 1470 1666 1785 2450 2499 2550 2975 3570 3675 4165 4998 5950 7350 8330 8925 12495 17850 18121 20825 24990 36242 41650 54363 62475 90605 108726 124950 126847 181210 253694 271815 308057 380541 453025 543630 616114 634235 761082 887929 906050 924171 1268470 1359075 1540285 1775858 1848342 1902705 2156399 2663787 2718150 3080570 3171175 3805410 4312798 4439645 4620855 5327574 6342350 6469197 7701425 8879290 9241710 9513525 10781995 12938394 13318935 15094793 15402850 19027050 21563990 22198225 23104275 26637870 30189586 32345985 44396450 45284379 46208550 53909975 64691970 66594675 75473965 90568758 107819950 133189350 150947930 161729925 226421895 323459850 377369825 452843790 754739650 1132109475 2264218950