Search a number
-
+
7022252556 = 2234113163559
BaseRepresentation
bin1101000101000111…
…10001001000001100
3200010101121101120000
412202203301020030
5103340144040211
63120451124300
7336006106344
oct64243611014
920111541500
107022252556
112a83973310
12143b8a3690
1387bac7737
144a88add24
152b1762656
hex1a28f120c

7022252556 has 120 divisors (see below), whose sum is σ = 20672762880. Its totient is φ = 2059279200.

The previous prime is 7022252483. The next prime is 7022252569. The reversal of 7022252556 is 6552522207.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7022252556.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78705 + ... + 142263.

It is an arithmetic number, because the mean of its divisors is an integer number (172273024).

Almost surely, 27022252556 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 7022252556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10336381440).

7022252556 is an abundant number, since it is smaller than the sum of its proper divisors (13650510324).

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

7022252556 is a wasteful number, since it uses less digits than its factorization.

7022252556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63617 (or 63606 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 7022252556 is about 83798.8815915821. The cubic root of 7022252556 is about 1914.9560675908.

The spelling of 7022252556 in words is "seven billion, twenty-two million, two hundred fifty-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 279 297 324 341 372 396 558 594 682 837 891 1023 1116 1188 1364 1674 1782 2046 2511 3069 3348 3564 4092 5022 6138 9207 10044 12276 18414 27621 36828 55242 63559 110484 127118 190677 254236 381354 572031 699149 762708 1144062 1398298 1716093 1970329 2097447 2288124 2796596 3432186 3940658 4194894 5148279 5910987 6292341 6864372 7881316 8389788 10296558 11821974 12584682 17732961 18877023 20593116 21673619 23643948 25169364 35465922 37754046 43347238 53198883 56631069 65020857 70931844 75508092 86694476 106397766 113262138 130041714 159596649 195062571 212795532 226524276 260083428 319193298 390125142 585187713 638386596 780250284 1170375426 1755563139 2340750852 3511126278 7022252556