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2140223004 = 2232194372767
BaseRepresentation
bin111111110010001…
…0011011000011100
312112011012121000200
41333210103120130
513340344114004
6552212223500
7104015411133
oct17744233034
95464177020
102140223004
119a9111247
124b890ab90
1328153205a
1416435a91a
15c7d60239
hex7f91361c

2140223004 has 72 divisors (see below), whose sum is σ = 5827261440. Its totient is φ = 660133152.

The previous prime is 2140222993. The next prime is 2140223017. The reversal of 2140223004 is 4003220412.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6972 + ... + 65795.

Almost surely, 22140223004 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 2140223004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913630720).

2140223004 is an abundant number, since it is smaller than the sum of its proper divisors (3687038436).

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

2140223004 is a wasteful number, since it uses less digits than its factorization.

2140223004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72839 (or 72834 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2140223004 is about 46262.5442880091. The cubic root of 2140223004 is about 1288.7035036126.

Adding to 2140223004 its reverse (4003220412), we get a palindrome (6143443416).

The spelling of 2140223004 in words is "two billion, one hundred forty million, two hundred twenty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 342 387 516 684 774 817 1548 1634 2451 3268 4902 7353 9804 14706 29412 72767 145534 218301 291068 436602 654903 873204 1309806 1382573 2619612 2765146 3128981 4147719 5530292 6257962 8295438 9386943 12443157 12515924 16590876 18773886 24886314 28160829 37547772 49772628 56321658 59450639 112643316 118901278 178351917 237802556 356703834 535055751 713407668 1070111502 2140223004