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2230020960 = 253531149867
BaseRepresentation
bin1000010011101011…
…0110101101100000
312202102011210122220
42010322312231200
514031341132320
61005141031040
7106155602556
oct20472665540
95672153586
102230020960
11a44874832
125229b5480
1329701303b
14172253bd6
15d0b9be40
hex84eb6b60

2230020960 has 96 divisors (see below), whose sum is σ = 7251213312. Its totient is φ = 575485440.

The previous prime is 2230020907. The next prime is 2230020971. The reversal of 2230020960 is 690200322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2230020960.

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, 60054 + ... + 89813.

It is an arithmetic number, because the mean of its divisors is an integer number (75533472).

Almost surely, 22230020960 is an apocalyptic number.

2230020960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230020960 is an abundant number, since it is smaller than the sum of its proper divisors (5021192352).

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

2230020960 is a wasteful number, since it uses less digits than its factorization.

2230020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149916 (or 149908 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2230020960 is about 47223.0977382890. The cubic root of 2230020960 is about 1306.4806493956.

The spelling of 2230020960 in words is "two billion, two hundred thirty million, twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 149867 299734 449601 599468 749335 899202 1198936 1498670 1798404 2248005 2397872 2997340 3596808 4496010 4645877 4795744 5994680 7193616 8992020 9291754 11989360 13937631 14387232 17984040 18583508 23229385 23978720 27875262 35968080 37167016 46458770 55750524 69688155 71936160 74334032 92917540 111501048 139376310 148668064 185835080 223002096 278752620 371670160 446004192 557505240 743340320 1115010480 2230020960