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2250404940 = 2235710315197
BaseRepresentation
bin1000011000100010…
…0111010001001100
312210211112102020010
42012020213101030
514102100424230
61011145553220
7106524061230
oct20610472114
95724472203
102250404940
11a553275a3
125297a5810
1329b2cc174
14174c3c5c0
15d28769b0
hex8622744c

2250404940 has 96 divisors (see below), whose sum is σ = 7209667584. Its totient is φ = 513780480.

The previous prime is 2250404929. The next prime is 2250404951. The reversal of 2250404940 is 494040522.

It is an interprime number because it is at equal distance from previous prime (2250404929) and next prime (2250404951).

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 = 2250404898 and 2250404907.

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, 430422 + ... + 435618.

It is an arithmetic number, because the mean of its divisors is an integer number (75100704).

Almost surely, 22250404940 is an apocalyptic number.

2250404940 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 2250404940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604833792).

2250404940 is an abundant number, since it is smaller than the sum of its proper divisors (4959262644).

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

2250404940 is a wasteful number, since it uses less digits than its factorization.

2250404940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2250404940 is about 47438.4331528772. The cubic root of 2250404940 is about 1310.4493029831.

The spelling of 2250404940 in words is "two billion, two hundred fifty million, four hundred four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1031 2062 3093 4124 5155 5197 6186 7217 10310 10394 12372 14434 15465 15591 20620 20788 21651 25985 28868 30930 31182 36085 36379 43302 51970 61860 62364 72170 72758 77955 86604 103940 108255 109137 144340 145516 155910 181895 216510 218274 311820 363790 433020 436548 545685 727580 1091370 2182740 5358107 10716214 16074321 21432428 26790535 32148642 37506749 53581070 64297284 75013498 80371605 107162140 112520247 150026996 160743210 187533745 225040494 321486420 375067490 450080988 562601235 750134980 1125202470 2250404940