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3221025120 = 253252236823
BaseRepresentation
bin1011111111111100…
…1111000101100000
322022110221000210200
42333333033011200
523044040300440
61251341425200
7142551155535
oct27777170540
98273830720
103221025120
111403203935
1275a86b200
133c4420731
14227adcd8c
1513cba2c30
hexbffcf160

3221025120 has 72 divisors (see below), whose sum is σ = 10991753136. Its totient is φ = 858939648.

The previous prime is 3221025109. The next prime is 3221025131. The reversal of 3221025120 is 215201223.

It is an interprime number because it is at equal distance from previous prime (3221025109) and next prime (3221025131).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3221025093 and 3221025102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1116972 + ... + 1119851.

It is an arithmetic number, because the mean of its divisors is an integer number (152663238).

Almost surely, 23221025120 is an apocalyptic number.

3221025120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3221025120 is an abundant number, since it is smaller than the sum of its proper divisors (7770728016).

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

3221025120 is a wasteful number, since it uses less digits than its factorization.

3221025120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236844 (or 2236833 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3221025120 is about 56754.0758007740. The cubic root of 3221025120 is about 1476.8329403124.

Adding to 3221025120 its reverse (215201223), we get a palindrome (3436226343).

The spelling of 3221025120 in words is "three billion, two hundred twenty-one million, twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2236823 4473646 6710469 8947292 11184115 13420938 17894584 20131407 22368230 26841876 33552345 35789168 40262814 44736460 53683752 67104690 71578336 80525628 89472920 100657035 107367504 134209380 161051256 178945840 201314070 214735008 268418760 322102512 357891680 402628140 536837520 644205024 805256280 1073675040 1610512560 3221025120