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2253162420 = 223451390841
BaseRepresentation
bin1000011001001100…
…1000011110110100
312211000201111210000
42012103020132310
514103302144140
61011325031300
7106556364435
oct20623103664
95730644700
102253162420
11a56940303
1252a6b5530
1329ba56302
1417535948c
15d2c1da30
hex864c87b4

2253162420 has 60 divisors (see below), whose sum is σ = 7068259044. Its totient is φ = 600842880.

The previous prime is 2253162419. The next prime is 2253162449. The reversal of 2253162420 is 242613522.

It is a happy number.

2253162420 is a `hidden beast` number, since 2 + 2 + 5 + 31 + 624 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1571012496 + 682149924 = 39636^2 + 26118^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×22531624203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 693801 + ... + 697040.

Almost surely, 22253162420 is an apocalyptic number.

2253162420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2253162420 is an abundant number, since it is smaller than the sum of its proper divisors (4815096624).

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

2253162420 is a wasteful number, since it uses less digits than its factorization.

2253162420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390862 (or 1390851 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2253162420 is about 47467.4880312831. The cubic root of 2253162420 is about 1310.9843271118.

Adding to 2253162420 its reverse (242613522), we get a palindrome (2495775942).

The spelling of 2253162420 in words is "two billion, two hundred fifty-three million, one hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1390841 2781682 4172523 5563364 6954205 8345046 12517569 13908410 16690092 20862615 25035138 27816820 37552707 41725230 50070276 62587845 75105414 83450460 112658121 125175690 150210828 187763535 225316242 250351380 375527070 450632484 563290605 751054140 1126581210 2253162420