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34233250220 = 225135916313691
BaseRepresentation
bin11111111000011101…
…011111000110101100
310021100202220021222022
4133320131133012230
51030102203001340
623420533205312
72321221553141
oct377035370654
9107322807868
1034233250220
1113577860634
126774790838
1332c74132a0
14192a7583c8
15d555c53b5
hex7f875f1ac

34233250220 has 96 divisors (see below), whose sum is σ = 79220816640. Its totient is φ = 12348599040.

The previous prime is 34233250169. The next prime is 34233250277. The reversal of 34233250220 is 2205233243.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 34233250220.

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, 2493575 + ... + 2507265.

It is an arithmetic number, because the mean of its divisors is an integer number (825216840).

Almost surely, 234233250220 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 34233250220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39610408320).

34233250220 is an abundant number, since it is smaller than the sum of its proper divisors (44987566420).

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

34233250220 is a wasteful number, since it uses less digits than its factorization.

34233250220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13935 (or 13933 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 34233250220 its reverse (2205233243), we get a palindrome (36438483463).

The spelling of 34233250220 in words is "thirty-four billion, two hundred thirty-three million, two hundred fifty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 163 236 260 295 326 590 652 767 815 1180 1534 1630 2119 3068 3260 3835 4238 7670 8476 9617 10595 13691 15340 19234 21190 27382 38468 42380 48085 54764 68455 96170 125021 136910 177983 192340 250042 273820 355966 500084 625105 711932 807769 889915 1250210 1615538 1779830 2231633 2500420 3231076 3559660 4038845 4463266 8077690 8926532 10500997 11158165 16155380 21001994 22316330 29011229 42003988 44632660 52504985 58022458 105009970 116044916 131666347 145056145 210019940 263332694 290112290 526665388 580224580 658331735 1316663470 1711662511 2633326940 3423325022 6846650044 8558312555 17116625110 34233250220