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2241482640 = 2435174711689
BaseRepresentation
bin1000010110011010…
…0100111110010000
312210012202010010120
42011212210332100
514042304421030
61010230430240
7106355200545
oct20546447620
95705663116
102241482640
11a502930a1
12526802380
132994c6cb7
14173998bcc
15d1bb3010
hex859a4f90

2241482640 has 160 divisors (see below), whose sum is σ = 7514519040. Its totient is φ = 550551552.

The previous prime is 2241482627. The next prime is 2241482651. The reversal of 2241482640 is 462841422.

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, 185916 + ... + 197604.

It is an arithmetic number, because the mean of its divisors is an integer number (46965744).

Almost surely, 22241482640 is an apocalyptic number.

2241482640 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 2241482640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757259520).

2241482640 is an abundant number, since it is smaller than the sum of its proper divisors (5273036400).

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

2241482640 is a wasteful number, since it uses less digits than its factorization.

2241482640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11769 (or 11763 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 2241482640 is about 47344.2989176099. The cubic root of 2241482640 is about 1308.7151397974.

The spelling of 2241482640 in words is "two billion, two hundred forty-one million, four hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 47 48 51 60 68 80 85 94 102 120 136 141 170 188 204 235 240 255 272 282 340 376 408 470 510 564 680 705 752 799 816 940 1020 1128 1360 1410 1598 1880 2040 2256 2397 2820 3196 3760 3995 4080 4794 5640 6392 7990 9588 11280 11689 11985 12784 15980 19176 23378 23970 31960 35067 38352 46756 47940 58445 63920 70134 93512 95880 116890 140268 175335 187024 191760 198713 233780 280536 350670 397426 467560 549383 561072 596139 701340 794852 935120 993565 1098766 1192278 1402680 1589704 1648149 1987130 2197532 2384556 2746915 2805360 2980695 3179408 3296298 3974260 4395064 4769112 5493830 5961390 6592596 7948520 8240745 8790128 9339511 9538224 10987660 11922780 13185192 15897040 16481490 18679022 21975320 23845560 26370384 28018533 32962980 37358044 43950640 46697555 47691120 56037066 65925960 74716088 93395110 112074132 131851920 140092665 149432176 186790220 224148264 280185330 373580440 448296528 560370660 747160880 1120741320 2241482640