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3220100004 = 22311232574127
BaseRepresentation
bin1011111111101110…
…1101001110100100
322022102012000210010
42333323231032210
523043321200004
61251305530220
7142540253442
oct27773551644
98272160703
103220100004
111402731880
1275a4a3970
133c4188624
1422793bb92
1513ca6da89
hexbfeed3a4

3220100004 has 96 divisors (see below), whose sum is σ = 8588353536. Its totient is φ = 929505280.

The previous prime is 3220099997. The next prime is 3220100029. The reversal of 3220100004 is 4000010223.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778189 + ... + 782315.

It is an arithmetic number, because the mean of its divisors is an integer number (89462016).

Almost surely, 23220100004 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 3220100004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294176768).

3220100004 is an abundant number, since it is smaller than the sum of its proper divisors (5368253532).

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

3220100004 is a wasteful number, since it uses less digits than its factorization.

3220100004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3220100004 is about 56745.9249990693. The cubic root of 3220100004 is about 1476.6915388897.

Adding to 3220100004 its reverse (4000010223), we get a palindrome (7220110227).

The spelling of 3220100004 in words is "three billion, two hundred twenty million, one hundred thousand, four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 257 276 506 514 759 771 1012 1028 1518 1542 2827 3036 3084 4127 5654 5911 8254 8481 11308 11822 12381 16508 16962 17733 23644 24762 33924 35466 45397 49524 65021 70932 90794 94921 130042 136191 181588 189842 195063 260084 272382 284763 379684 390126 544764 569526 780252 1044131 1060639 1139052 2088262 2121278 3132393 3181917 4176524 4242556 6264786 6363834 11667029 12529572 12727668 23334058 24394697 35001087 46668116 48789394 70002174 73184091 97578788 140004348 146368182 268341667 292736364 536683334 805025001 1073366668 1610050002 3220100004