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22513322040 = 23351179215893
BaseRepresentation
bin10100111101111001…
…100000100000111000
32011002222210020221020
4110331321200200320
5332101402301130
614201550342440
71424621036256
oct247571404070
964088706836
1022513322040
119603202080
1244437baa20
13217a2bca41
1411380035d6
158bb728e10
hex53de60838

22513322040 has 128 divisors (see below), whose sum is σ = 74612966400. Its totient is φ = 5388664320.

The previous prime is 22513322017. The next prime is 22513322059. The reversal of 22513322040 is 4022331522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22513322040.

It is a congruent number.

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, 3667 + ... + 212226.

It is an arithmetic number, because the mean of its divisors is an integer number (582913800).

Almost surely, 222513322040 is an apocalyptic number.

22513322040 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 22513322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37306483200).

22513322040 is an abundant number, since it is smaller than the sum of its proper divisors (52099644360).

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

22513322040 is a wasteful number, since it uses less digits than its factorization.

22513322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215997 (or 215993 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 22513322040 its reverse (4022331522), we get a palindrome (26535653562).

The spelling of 22513322040 in words is "twenty-two billion, five hundred thirteen million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 79 88 110 120 132 158 165 220 237 264 316 330 395 440 474 632 660 790 869 948 1185 1320 1580 1738 1896 2370 2607 3160 3476 4345 4740 5214 6952 8690 9480 10428 13035 17380 20856 26070 34760 52140 104280 215893 431786 647679 863572 1079465 1295358 1727144 2158930 2374823 2590716 3238395 4317860 4749646 5181432 6476790 7124469 8635720 9499292 11874115 12953580 14248938 17055547 18998584 23748230 25907160 28497876 34111094 35622345 47496460 51166641 56995752 68222188 71244690 85277735 94992920 102333282 136444376 142489380 170555470 187611017 204666564 255833205 284978760 341110940 375222034 409333128 511666410 562833051 682221880 750444068 938055085 1023332820 1125666102 1500888136 1876110170 2046665640 2251332204 2814165255 3752220340 4502664408 5628330510 7504440680 11256661020 22513322040