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2253553140 = 22351911931657
BaseRepresentation
bin1000011001010010…
…0111110111110100
312211001110100202010
42012110213313310
514103402200030
61011341244220
7106562612526
oct20624476764
95731410663
102253553140
11a57087913
1252a863670
1329bb620c7
1417541ba16
15d2c996b0
hex86527df4

2253553140 has 96 divisors (see below), whose sum is σ = 6651630720. Its totient is φ = 568498176.

The previous prime is 2253553123. The next prime is 2253553177. The reversal of 2253553140 is 413553522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2253553098 and 2253553107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1359192 + ... + 1360848.

It is an arithmetic number, because the mean of its divisors is an integer number (69287820).

Almost surely, 22253553140 is an apocalyptic number.

2253553140 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 2253553140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325815360).

2253553140 is an abundant number, since it is smaller than the sum of its proper divisors (4398077580).

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

2253553140 is a wasteful number, since it uses less digits than its factorization.

2253553140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2253553140 is about 47471.6035119944. The cubic root of 2253553140 is about 1311.0601018224.

The spelling of 2253553140 in words is "two billion, two hundred fifty-three million, five hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1193 1657 2386 3314 3579 4772 4971 5965 6628 7158 8285 9942 11930 14316 16570 17895 19884 22667 23860 24855 31483 33140 35790 45334 49710 62966 68001 71580 90668 94449 99420 113335 125932 136002 157415 188898 226670 272004 314830 340005 377796 453340 472245 629660 680010 944490 1360020 1888980 1976801 3953602 5930403 7907204 9884005 11860806 19768010 23721612 29652015 37559219 39536020 59304030 75118438 112677657 118608060 150236876 187796095 225355314 375592190 450710628 563388285 751184380 1126776570 2253553140