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30214220240 = 2451134876863
BaseRepresentation
bin11100001000111010…
…000110100111010000
32212222200101102022002
4130020322012213100
5443334320021430
621514043333132
72116510430441
oct341072064720
985880342262
1030214220240
11118a5159956
125a328211a8
132b0688ab39
141668a8d2c8
15bbc841845
hex708e869d0

30214220240 has 80 divisors (see below), whose sum is σ = 71025596928. Its totient is φ = 11952396288.

The previous prime is 30214220221. The next prime is 30214220251. The reversal of 30214220240 is 4202241203.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×302142202402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 4399049 + ... + 4405911.

Almost surely, 230214220240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30214220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35512798464).

30214220240 is an abundant number, since it is smaller than the sum of its proper divisors (40811376688).

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

30214220240 is a wasteful number, since it uses less digits than its factorization.

30214220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7476 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 30214220240 its reverse (4202241203), we get a palindrome (34416461443).

The spelling of 30214220240 in words is "thirty billion, two hundred fourteen million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 487 565 904 974 1130 1808 1948 2260 2435 3896 4520 4870 6863 7792 9040 9740 13726 19480 27452 34315 38960 54904 55031 68630 109808 110062 137260 220124 274520 275155 440248 549040 550310 775519 880496 1100620 1551038 2201240 3102076 3342281 3877595 4402480 6204152 6684562 7755190 12408304 13369124 15510380 16711405 26738248 31020760 33422810 53476496 62041520 66845620 133691240 267382480 377677753 755355506 1510711012 1888388765 3021422024 3776777530 6042844048 7553555060 15107110120 30214220240