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2227650240 = 263512131913
BaseRepresentation
bin1000010011000111…
…0011111011000000
312202020201100122110
42010301303323000
514030234301430
61005014135320
7106126500054
oct20461637300
95666640573
102227650240
11a434a5662
12522051540
13296692c4a
14171bd7c64
15d087e7b0
hex84c73ec0

2227650240 has 112 divisors (see below), whose sum is σ = 7082320608. Its totient is φ = 593240064.

The previous prime is 2227650223. The next prime is 2227650251. The reversal of 2227650240 is 420567222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2227650198 and 2227650207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1163524 + ... + 1165436.

Almost surely, 22227650240 is an apocalyptic number.

2227650240 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 2227650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541160304).

2227650240 is an abundant number, since it is smaller than the sum of its proper divisors (4854670368).

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

2227650240 is a wasteful number, since it uses less digits than its factorization.

2227650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2227650240 is about 47197.9897877018. The cubic root of 2227650240 is about 1306.0175150302.

The spelling of 2227650240 in words is "two billion, two hundred twenty-seven million, six hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1213 1913 2426 3639 3826 4852 5739 6065 7278 7652 9565 9704 11478 12130 14556 15304 18195 19130 19408 22956 24260 28695 29112 30608 36390 38260 38816 45912 48520 57390 58224 61216 72780 76520 77632 91824 97040 114780 116448 122432 145560 153040 183648 194080 229560 232896 291120 306080 367296 388160 459120 582240 612160 918240 1164480 1836480 2320469 4640938 6961407 9281876 11602345 13922814 18563752 23204690 27845628 34807035 37127504 46409380 55691256 69614070 74255008 92818760 111382512 139228140 148510016 185637520 222765024 278456280 371275040 445530048 556912560 742550080 1113825120 2227650240