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2272321716 = 2237197353389
BaseRepresentation
bin1000011101110000…
…1110000010110100
312212100202220101120
42013130032002310
514123203243331
61013251423540
7110211262440
oct20734160264
95770686346
102272321716
11a66736a35
12534bb4bb0
132a2a03b82
14177b05820
15d4755796
hex8770e0b4

2272321716 has 96 divisors (see below), whose sum is σ = 6123237120. Its totient is φ = 642453504.

The previous prime is 2272321703. The next prime is 2272321717. The reversal of 2272321716 is 6171232722.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272321717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5841250 + ... + 5841638.

It is an arithmetic number, because the mean of its divisors is an integer number (63783720).

Almost surely, 22272321716 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 2272321716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061618560).

2272321716 is an abundant number, since it is smaller than the sum of its proper divisors (3850915404).

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

2272321716 is a wasteful number, since it uses less digits than its factorization.

2272321716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 951 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 2272321716 is about 47668.8757576681. The cubic root of 2272321716 is about 1314.6897379412.

The spelling of 2272321716 in words is "two billion, two hundred seventy-two million, three hundred twenty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 197 353 389 394 591 706 778 788 1059 1167 1182 1379 1412 1556 2118 2334 2364 2471 2723 2758 4137 4236 4668 4942 5446 5516 7413 8169 8274 9884 10892 14826 16338 16548 29652 32676 69541 76633 137317 139082 153266 208623 229899 274634 278164 306532 411951 417246 459798 486787 536431 549268 823902 834492 919596 961219 973574 1072862 1460361 1609293 1647804 1922438 1947148 2145724 2883657 2920722 3218586 3844876 5767314 5841444 6437172 11534628 27051449 54102898 81154347 108205796 162308694 189360143 324617388 378720286 568080429 757440572 1136160858 2272321716