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2229971904 = 26333473719
BaseRepresentation
bin1000010011101010…
…1010101111000000
312202102002022101000
42010322222233000
514031333100104
61005140012000
7106155306546
oct20472525700
95672068330
102229971904
11a44840996
12522991000
13296cc6904
1417223dd96
15d0b8c639
hex84eaabc0

2229971904 has 112 divisors (see below), whose sum is σ = 6576364800. Its totient is φ = 740982528.

The previous prime is 2229971899. The next prime is 2229971927. The reversal of 2229971904 is 4091799222.

It is a self number, because there is not a number n which added to its sum of digits gives 2229971904.

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, 597757 + ... + 601475.

Almost surely, 22229971904 is an apocalyptic number.

2229971904 is a gapful number since it is divisible by the number (24) 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 2229971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288182400).

2229971904 is an abundant number, since it is smaller than the sum of its proper divisors (4346392896).

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

2229971904 is a wasteful number, since it uses less digits than its factorization.

2229971904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2229971904 is about 47222.5783285919. The cubic root of 2229971904 is about 1306.4710693385.

The spelling of 2229971904 in words is "two billion, two hundred twenty-nine million, nine hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 347 432 576 694 864 1041 1388 1728 2082 2776 3123 3719 4164 5552 6246 7438 8328 9369 11104 11157 12492 14876 16656 18738 22208 22314 24984 29752 33312 33471 37476 44628 49968 59504 66624 66942 74952 89256 99936 100413 119008 133884 149904 178512 199872 200826 238016 267768 299808 357024 401652 535536 599616 714048 803304 1071072 1290493 1606608 2142144 2580986 3213216 3871479 5161972 6426432 7742958 10323944 11614437 15485916 20647888 23228874 30971832 34843311 41295776 46457748 61943664 69686622 82591552 92915496 123887328 139373244 185830992 247774656 278746488 371661984 557492976 743323968 1114985952 2229971904