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2253042420 = 2235199072179
BaseRepresentation
bin1000011001001010…
…1011001011110100
312211000111102011120
42012102223023310
514103234324140
61011322303540
7106555354536
oct20622531364
95730442146
102253042420
11a56869132
1252a657bb0
1329ba137c5
14175327856
15d2be81d0
hex864ab2f4

2253042420 has 96 divisors (see below), whose sum is σ = 6650918400. Its totient is φ = 568301184.

The previous prime is 2253042409. The next prime is 2253042427. The reversal of 2253042420 is 242403522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253042427) 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, 1032891 + ... + 1035069.

It is an arithmetic number, because the mean of its divisors is an integer number (69280400).

Almost surely, 22253042420 is an apocalyptic number.

2253042420 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 2253042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325459200).

2253042420 is an abundant number, since it is smaller than the sum of its proper divisors (4397875980).

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

2253042420 is a wasteful number, since it uses less digits than its factorization.

2253042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2253042420 is about 47466.2239913815. The cubic root of 2253042420 is about 1310.9610530222.

Adding to 2253042420 its reverse (242403522), we get a palindrome (2495445942).

The spelling of 2253042420 in words is "two billion, two hundred fifty-three million, forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 907 1140 1814 2179 2721 3628 4358 4535 5442 6537 8716 9070 10884 10895 13074 13605 17233 18140 21790 26148 27210 32685 34466 41401 43580 51699 54420 65370 68932 82802 86165 103398 124203 130740 165604 172330 206796 207005 248406 258495 344660 414010 496812 516990 621015 828020 1033980 1242030 1976353 2484060 3952706 5929059 7905412 9881765 11858118 19763530 23716236 29645295 37550707 39527060 59290590 75101414 112652121 118581180 150202828 187753535 225304242 375507070 450608484 563260605 751014140 1126521210 2253042420