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10032274252 = 227111315715959
BaseRepresentation
bin10010101011111100…
…00101101101001100
3221220011111100002001
421111332011231030
5131021230234002
64335254242044
7503415631660
oct112576055514
927804440061
1010032274252
114288a59150
121b3b956324
13c3b5aa670
146b25648a0
153dab35a87
hex255f85b4c

10032274252 has 96 divisors (see below), whose sum is σ = 23723965440. Its totient is φ = 3584805120.

The previous prime is 10032274207. The next prime is 10032274253. The reversal of 10032274252 is 25247223001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10032274252.

It is not an unprimeable number, because it can be changed into a prime (10032274253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620649 + ... + 636607.

It is an arithmetic number, because the mean of its divisors is an integer number (247124640).

Almost surely, 210032274252 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 10032274252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11861982720).

10032274252 is an abundant number, since it is smaller than the sum of its proper divisors (13691691188).

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

10032274252 is a wasteful number, since it uses less digits than its factorization.

10032274252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16151 (or 16149 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 10032274252 its reverse (25247223001), we get a palindrome (35279497253).

The spelling of 10032274252 in words is "ten billion, thirty-two million, two hundred seventy-four thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 157 182 286 308 314 364 572 628 1001 1099 1727 2002 2041 2198 3454 4004 4082 4396 6908 8164 12089 14287 15959 22451 24178 28574 31918 44902 48356 57148 63836 89804 111713 157157 175549 207467 223426 314314 351098 414934 446852 628628 702196 829868 1228843 1452269 2282137 2457686 2505563 2904538 4564274 4915372 5011126 5809076 9128548 10022252 15974959 17538941 27561193 31949918 32572319 35077882 55122386 63899836 65144638 70155764 110244772 130289276 192928351 228006233 358295509 385856702 456012466 716591018 771713404 912024932 1433182036 2508068563 5016137126 10032274252