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2233664320 = 265192315973
BaseRepresentation
bin1000010100100011…
…0000001101000000
312202200000220102011
42011020300031000
514033304224240
61005351102304
7106231555606
oct20510601500
95680026364
102233664320
11a46933078
12524071994
132979ba484
14172921876
15d116b6ea
hex85230340

2233664320 has 112 divisors (see below), whose sum is σ = 5842650240. Its totient is φ = 809588736.

The previous prime is 2233664317. The next prime is 2233664353. The reversal of 2233664320 is 234663322.

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, 131854 + ... + 147826.

It is an arithmetic number, because the mean of its divisors is an integer number (52166520).

Almost surely, 22233664320 is an apocalyptic number.

2233664320 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 2233664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921325120).

2233664320 is an abundant number, since it is smaller than the sum of its proper divisors (3608985920).

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

2233664320 is a wasteful number, since it uses less digits than its factorization.

2233664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16032 (or 16022 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

The square root of 2233664320 is about 47261.6580327013. The cubic root of 2233664320 is about 1307.1917622093.

The spelling of 2233664320 in words is "two billion, two hundred thirty-three million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 64 76 80 92 95 115 152 160 184 190 230 304 320 368 380 437 460 608 736 760 874 920 1216 1472 1520 1748 1840 2185 3040 3496 3680 4370 6080 6992 7360 8740 13984 15973 17480 27968 31946 34960 63892 69920 79865 127784 139840 159730 255568 303487 319460 367379 511136 606974 638920 734758 1022272 1213948 1277840 1469516 1517435 1836895 2427896 2555680 2939032 3034870 3673790 4855792 5111360 5878064 6069740 6980201 7347580 9711584 11756128 12139480 13960402 14695160 19423168 23512256 24278960 27920804 29390320 34901005 48557920 55841608 58780640 69802010 97115840 111683216 117561280 139604020 223366432 279208040 446732864 558416080 1116832160 2233664320