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722542240 = 25572234007
BaseRepresentation
bin101011000100010…
…001111010100000
31212100120221121201
4223010101322200
52434432322430
6155410330544
723622336100
oct5304217240
91770527551
10722542240
11340946752
12181b89a54
13b69029b4
146bd65200
15436768ca
hex2b111ea0

722542240 has 144 divisors (see below), whose sum is σ = 2072552832. Its totient is φ = 236898816.

The previous prime is 722542231. The next prime is 722542259. The reversal of 722542240 is 42245227.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 722542199 and 722542208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178317 + ... + 182323.

It is an arithmetic number, because the mean of its divisors is an integer number (14392728).

Almost surely, 2722542240 is an apocalyptic number.

722542240 is a gapful number since it is divisible by the number (70) 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 722542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036276416).

722542240 is an abundant number, since it is smaller than the sum of its proper divisors (1350010592).

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

722542240 is a wasteful number, since it uses less digits than its factorization.

722542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 722542240 is about 26880.1458329377. The cubic root of 722542240 is about 897.3345996571.

Adding to 722542240 its reverse (42245227), we get a palindrome (764787467).

The spelling of 722542240 in words is "seven hundred twenty-two million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 49 56 70 80 92 98 112 115 140 160 161 184 196 224 230 245 280 322 368 392 460 490 560 644 736 784 805 920 980 1120 1127 1288 1568 1610 1840 1960 2254 2576 3220 3680 3920 4007 4508 5152 5635 6440 7840 8014 9016 11270 12880 16028 18032 20035 22540 25760 28049 32056 36064 40070 45080 56098 64112 80140 90160 92161 112196 128224 140245 160280 180320 184322 196343 224392 280490 320560 368644 392686 448784 460805 560980 641120 645127 737288 785372 897568 921610 981715 1121960 1290254 1474576 1570744 1843220 1963430 2243920 2580508 2949152 3141488 3225635 3686440 3926860 4487840 4515889 5161016 6282976 6451270 7372880 7853720 9031778 10322032 12902540 14745760 15707440 18063556 20644064 22579445 25805080 31414880 36127112 45158890 51610160 72254224 90317780 103220320 144508448 180635560 361271120 722542240