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2197152960 = 263513117471
BaseRepresentation
bin1000001011110101…
…1110010011000000
312200010022221020120
42002331132103000
513444432343320
61002004340240
7105306330522
oct20275362300
95603287216
102197152960
11a282655a2
125139a4680
13290275812
1416bb39a12
15ccd58440
hex82f5e4c0

2197152960 has 112 divisors (see below), whose sum is σ = 7029614592. Its totient is φ = 581401600.

The previous prime is 2197152949. The next prime is 2197152967. The reversal of 2197152960 is 692517912.

It is a super-2 number, since 2×21971529602 = 9654962259273523200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2197152967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117025 + ... + 134495.

It is an arithmetic number, because the mean of its divisors is an integer number (62764416).

Almost surely, 22197152960 is an apocalyptic number.

2197152960 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 2197152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514807296).

2197152960 is an abundant number, since it is smaller than the sum of its proper divisors (4832461632).

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

2197152960 is a wasteful number, since it uses less digits than its factorization.

2197152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17622 (or 17612 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 2197152960 is about 46873.7982245945. The cubic root of 2197152960 is about 1300.0301689251.

The spelling of 2197152960 in words is "two billion, one hundred ninety-seven million, one hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 131 160 192 240 262 320 393 480 524 655 786 960 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 8384 10480 12576 15720 17471 20960 25152 31440 34942 41920 52413 62880 69884 87355 104826 125760 139768 174710 209652 262065 279536 349420 419304 524130 559072 698840 838608 1048260 1118144 1397680 1677216 2096520 2288701 2795360 3354432 4193040 4577402 5590720 6866103 8386080 9154804 11443505 13732206 16772160 18309608 22887010 27464412 34330515 36619216 45774020 54928824 68661030 73238432 91548040 109857648 137322060 146476864 183096080 219715296 274644120 366192160 439430592 549288240 732384320 1098576480 2197152960