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2230244928 = 26341922643
BaseRepresentation
bin1000010011101110…
…1101011001000000
312202102121011220000
42010323231121000
514031420314203
61005145520000
7106160524542
oct20473553100
95672534800
102230244928
11a44a0802a
12522aa3000
13297090c72
141722b1692
15d0be34a3
hex84eed640

2230244928 has 140 divisors (see below), whose sum is σ = 6959406960. Its totient is φ = 704256768.

The previous prime is 2230244927. The next prime is 2230244981. The reversal of 2230244928 is 8294420322.

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 = 2230244892 and 2230244901.

It is not an unprimeable number, because it can be changed into a prime (2230244921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87175 + ... + 109817.

Almost surely, 22230244928 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 2230244928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479703480).

2230244928 is an abundant number, since it is smaller than the sum of its proper divisors (4729162032).

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

2230244928 is a wasteful number, since it uses less digits than its factorization.

2230244928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22686 (or 22667 counting only the distinct ones).

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

The square root of 2230244928 is about 47225.4690606668. The cubic root of 2230244928 is about 1306.5243859147.

The spelling of 2230244928 in words is "two billion, two hundred thirty million, two hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1728 1824 2052 2592 2736 3078 3648 4104 5184 5472 6156 8208 10944 12312 16416 22643 24624 32832 45286 49248 67929 90572 98496 135858 181144 203787 271716 362288 407574 430217 543432 611361 724576 815148 860434 1086864 1222722 1290651 1449152 1630296 1720868 1834083 2173728 2445444 2581302 3260592 3441736 3668166 3871953 4347456 4890888 5162604 6521184 6883472 7336332 7743906 9781776 10325208 11615859 13042368 13766944 14672664 15487812 19563552 20650416 23231718 27533888 29345328 30975624 34847577 39127104 41300832 46463436 58690656 61951248 69695154 82601664 92926872 117381312 123902496 139390308 185853744 247804992 278780616 371707488 557561232 743414976 1115122464 2230244928