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2264324480 = 275111811777
BaseRepresentation
bin1000011011110110…
…1101100110000000
312211210201121020122
42012331231212000
514114131340410
61012404155412
7110053304045
oct20675554600
95753647218
102264324480
11a62174550
12532398b68
132a1163a92
14176a231cc
15d3bc5e55
hex86f6d980

2264324480 has 128 divisors (see below), whose sum is σ = 5941222560. Its totient is φ = 818380800.

The previous prime is 2264324473. The next prime is 2264324497. The reversal of 2264324480 is 844234622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2264324480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1273352 + ... + 1275128.

Almost surely, 22264324480 is an apocalyptic number.

2264324480 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 2264324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970611280).

2264324480 is an abundant number, since it is smaller than the sum of its proper divisors (3676898080).

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

2264324480 is a wasteful number, since it uses less digits than its factorization.

2264324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The square root of 2264324480 is about 47584.9186192432. The cubic root of 2264324480 is about 1313.1456134995.

The spelling of 2264324480 in words is "two billion, two hundred sixty-four million, three hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 181 220 320 352 362 440 640 704 724 880 905 1408 1448 1760 1777 1810 1991 2896 3520 3554 3620 3982 5792 7040 7108 7240 7964 8885 9955 11584 14216 14480 15928 17770 19547 19910 23168 28432 28960 31856 35540 39094 39820 56864 57920 63712 71080 78188 79640 97735 113728 115840 127424 142160 156376 159280 195470 227456 254848 284320 312752 318560 321637 390940 568640 625504 637120 643274 781880 1137280 1251008 1274240 1286548 1563760 1608185 2502016 2573096 3127520 3216370 3538007 5146192 6255040 6432740 7076014 10292384 12510080 12865480 14152028 17690035 20584768 25730960 28304056 35380070 41169536 51461920 56608112 70760140 102923840 113216224 141520280 205847680 226432448 283040560 452864896 566081120 1132162240 2264324480