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3222802944 = 2933298039
BaseRepresentation
bin1100000000011000…
…0001001000000000
322022121021100112000
43000012001020000
523100014143234
61251443504000
7142602241644
oct30006011000
98277240460
103222802944
111404208609
1275b388000
133c48c39ba
14228042c24
1513ce04899
hexc0181200

3222802944 has 160 divisors (see below), whose sum is σ = 9869904000. Its totient is φ = 1037094912.

The previous prime is 3222802939. The next prime is 3222802949. The reversal of 3222802944 is 4492082223.

It is an interprime number because it is at equal distance from previous prime (3222802939) and next prime (3222802949).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3222802899 and 3222802908.

It is not an unprimeable number, because it can be changed into a prime (3222802949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396877 + ... + 404915.

It is an arithmetic number, because the mean of its divisors is an integer number (61686900).

Almost surely, 23222802944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222802944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934952000).

3222802944 is an abundant number, since it is smaller than the sum of its proper divisors (6647101056).

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

3222802944 is an equidigital number, since it uses as much as digits as its factorization.

3222802944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095 (or 8073 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3222802944 is about 56769.7361628535. The cubic root of 3222802944 is about 1477.1045998042.

The spelling of 3222802944 in words is "three billion, two hundred twenty-two million, eight hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 512 522 576 696 768 783 864 928 1044 1152 1392 1536 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 4608 5568 6264 6912 7424 8039 8352 11136 12528 13824 14848 16078 16704 22272 24117 25056 32156 33408 44544 48234 50112 64312 66816 72351 96468 100224 128624 133632 144702 192936 200448 217053 233131 257248 289404 385872 400896 434106 466262 514496 578808 699393 771744 868212 932524 1028992 1157616 1398786 1543488 1736424 1865048 2057984 2098179 2315232 2797572 3086976 3472848 3730096 4115968 4196358 4630464 5595144 6173952 6294537 6945696 7460192 8392716 9260928 11190288 12347904 12589074 13891392 14920384 16785432 18521856 22380576 25178148 27782784 29840768 33570864 37043712 44761152 50356296 55565568 59681536 67141728 89522304 100712592 111131136 119363072 134283456 179044608 201425184 268566912 358089216 402850368 537133824 805700736 1074267648 1611401472 3222802944