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2253273228 = 2234173131307
BaseRepresentation
bin1000011001001110…
…0011100010001100
312211000221010210000
42012103203202030
514103314220403
61011331244300
7106560335463
oct20623434214
95730833700
102253273228
11a56a06588
1252a749690
1329ba9488b
141753879da
15d2c417a3
hex864e388c

2253273228 has 120 divisors (see below), whose sum is σ = 6261715152. Its totient is φ = 704111616.

The previous prime is 2253273227. The next prime is 2253273241. The reversal of 2253273228 is 8223723522.

It is a happy number.

2253273228 is a `hidden beast` number, since 2 + 2 + 5 + 327 + 322 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2253273192 and 2253273201.

It is not an unprimeable number, because it can be changed into a prime (2253273221) by changing a digit.

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, 1723351 + ... + 1724657.

Almost surely, 22253273228 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 2253273228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130857576).

2253273228 is an abundant number, since it is smaller than the sum of its proper divisors (4008441924).

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

2253273228 is a wasteful number, since it uses less digits than its factorization.

2253273228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1642 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 2253273228 is about 47468.6552158369. The cubic root of 2253273228 is about 1311.0058176723.

The spelling of 2253273228 in words is "two billion, two hundred fifty-three million, two hundred seventy-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 313 324 459 612 626 918 939 1252 1307 1377 1836 1878 2614 2754 2817 3756 3921 5228 5321 5508 5634 7842 8451 10642 11268 11763 15684 15963 16902 21284 22219 23526 25353 31926 33804 35289 44438 47052 47889 50706 63852 66657 70578 88876 95778 101412 105867 133314 141156 143667 191556 199971 211734 266628 287334 399942 409091 423468 431001 574668 599913 799884 818182 862002 1199826 1227273 1636364 1724004 1799739 2399652 2454546 3599478 3681819 4909092 6954547 7198956 7363638 11045457 13909094 14727276 20863641 22090914 27818188 33136371 41727282 44181828 62590923 66272742 83454564 125181846 132545484 187772769 250363692 375545538 563318307 751091076 1126636614 2253273228