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2253055100 = 2252179191659
BaseRepresentation
bin1000011001001010…
…1110010001111100
312211000112001120012
42012102232101330
514103240230400
61011322442352
7106555436522
oct20622562174
95730461505
102253055100
11a5687770a
1252a6633b8
1329ba194ca
1417532c312
15d2bebd35
hex864ae47c

2253055100 has 72 divisors (see below), whose sum is σ = 4949683200. Its totient is φ = 890142400.

The previous prime is 2253055061. The next prime is 2253055109. The reversal of 2253055100 is 15503522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253055109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3418571 + ... + 3419229.

It is an arithmetic number, because the mean of its divisors is an integer number (68745600).

Almost surely, 22253055100 is an apocalyptic number.

2253055100 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 2253055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474841600).

2253055100 is an abundant number, since it is smaller than the sum of its proper divisors (2696628100).

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

2253055100 is a wasteful number, since it uses less digits than its factorization.

2253055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 2253055100 is about 47466.3575598550. The cubic root of 2253055100 is about 1310.9635123567.

Adding to 2253055100 its reverse (15503522), we get a palindrome (2268558622).

The spelling of 2253055100 in words is "two billion, two hundred fifty-three million, fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 191 358 382 659 716 764 895 955 1318 1790 1910 2636 3295 3580 3820 4475 4775 6590 8950 9550 13180 16475 17900 19100 32950 34189 65900 68378 117961 125869 136756 170945 235922 251738 341890 471844 503476 589805 629345 683780 854725 1179610 1258690 1709450 2359220 2517380 2949025 3146725 3418900 5898050 6293450 11796100 12586900 22530551 45061102 90122204 112652755 225305510 450611020 563263775 1126527550 2253055100