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22274017120 = 2552334391361
BaseRepresentation
bin10100101111101000…
…101000011101100000
32010111022111022022001
4110233220220131200
5331104122021440
614122121253344
71415654010265
oct245750503540
963438438261
1022274017120
1194a0113813
124397634254
13213c8533b4
14111430d26c
158a5708b9a
hex52fa28760

22274017120 has 96 divisors (see below), whose sum is σ = 53007514560. Its totient is φ = 8844656640.

The previous prime is 22274017109. The next prime is 22274017133. The reversal of 22274017120 is 2171047222.

It is a super-2 number, since 2×222740171202 (a number of 21 digits) contains 22 as substring.

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, 16365240 + ... + 16366600.

It is an arithmetic number, because the mean of its divisors is an integer number (552161610).

Almost surely, 222274017120 is an apocalyptic number.

22274017120 is a gapful number since it is divisible by the number (20) 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 22274017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26503757280).

22274017120 is an abundant number, since it is smaller than the sum of its proper divisors (30733497440).

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

22274017120 is a wasteful number, since it uses less digits than its factorization.

22274017120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The spelling of 22274017120 in words is "twenty-two billion, two hundred seventy-four million, seventeen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 439 466 878 932 1165 1361 1756 1864 2195 2330 2722 3512 3728 4390 4660 5444 6805 7024 7456 8780 9320 10888 13610 14048 17560 18640 21776 27220 35120 37280 43552 54440 70240 102287 108880 204574 217760 317113 409148 511435 597479 634226 818296 1022870 1194958 1268452 1585565 1636592 2045740 2389916 2536904 2987395 3171130 3273184 4091480 4779832 5073808 5974790 6342260 8182960 9559664 10147616 11949580 12684520 16365920 19119328 23899160 25369040 47798320 50738080 95596640 139212607 278425214 556850428 696063035 1113700856 1392126070 2227401712 2784252140 4454803424 5568504280 11137008560 22274017120